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Finding the Fourth Proportional to 9,743.86, 14,612.16 and 3,502.17

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Solution

The fourth proportional to 9,743.86, 14,612.16 and 3,502.17 is: 5,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.86 : 14,612.16 = 3,502.17 : x
  2. Step 2: Convert to fraction form
    9,743.86/14,612.16 = 3,502.17/x
  3. Step 3: Cross multiply
    9,743.86x = 14,612.16 × 3,502.17
  4. Step 4: Simplify right side
    9,743.86x = 51,174,281.52
  5. Step 5: Solve for x
    x = 51,174,281.52/9,743.86
  6. Step 6: Final answer
    x = 5,251.95

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