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Finding the Fourth Proportional to 9,295,472.88, 12,829,274.40 and 7,744,274.64

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Solution

The fourth proportional to 9,295,472.88, 12,829,274.40 and 7,744,274.64 is: 10,688,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295,472.88 : 12,829,274.40 = 7,744,274.64 : x
  2. Step 2: Convert to fraction form
    9,295,472.88/12,829,274.40 = 7,744,274.64/x
  3. Step 3: Cross multiply
    9,295,472.88x = 12,829,274.40 × 7,744,274.64
  4. Step 4: Simplify right side
    9,295,472.88x = 99,353,424,385,521.22
  5. Step 5: Solve for x
    x = 99,353,424,385,521.22/9,295,472.88
  6. Step 6: Final answer
    x = 10,688,366.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.