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Finding the Fourth Proportional to 9,934.88, 14,903.92 and 3,007.76

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Solution

The fourth proportional to 9,934.88, 14,903.92 and 3,007.76 is: 4,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.88 : 14,903.92 = 3,007.76 : x
  2. Step 2: Convert to fraction form
    9,934.88/14,903.92 = 3,007.76/x
  3. Step 3: Cross multiply
    9,934.88x = 14,903.92 × 3,007.76
  4. Step 4: Simplify right side
    9,934.88x = 44,827,414.42
  5. Step 5: Solve for x
    x = 44,827,414.42/9,934.88
  6. Step 6: Final answer
    x = 4,512.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.