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Finding the Fourth Proportional to 9,474.65, 14,212.01 and 4,274.45

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Solution

The fourth proportional to 9,474.65, 14,212.01 and 4,274.45 is: 6,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.65 : 14,212.01 = 4,274.45 : x
  2. Step 2: Convert to fraction form
    9,474.65/14,212.01 = 4,274.45/x
  3. Step 3: Cross multiply
    9,474.65x = 14,212.01 × 4,274.45
  4. Step 4: Simplify right side
    9,474.65x = 60,748,433.71
  5. Step 5: Solve for x
    x = 60,748,433.71/9,474.65
  6. Step 6: Final answer
    x = 6,411.68

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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.