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Finding the Fourth Proportional to 10,217.94, 15,318.77 and 9,397.86

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Solution

The fourth proportional to 10,217.94, 15,318.77 and 9,397.86 is: 14,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.94 : 15,318.77 = 9,397.86 : x
  2. Step 2: Convert to fraction form
    10,217.94/15,318.77 = 9,397.86/x
  3. Step 3: Cross multiply
    10,217.94x = 15,318.77 × 9,397.86
  4. Step 4: Simplify right side
    10,217.94x = 143,963,608.84
  5. Step 5: Solve for x
    x = 143,963,608.84/10,217.94
  6. Step 6: Final answer
    x = 14,089.30

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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.