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Finding the Fourth Proportional to 9,688.43, 13,366.59 and 6,333.17

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Solution

The fourth proportional to 9,688.43, 13,366.59 and 6,333.17 is: 8,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.43 : 13,366.59 = 6,333.17 : x
  2. Step 2: Convert to fraction form
    9,688.43/13,366.59 = 6,333.17/x
  3. Step 3: Cross multiply
    9,688.43x = 13,366.59 × 6,333.17
  4. Step 4: Simplify right side
    9,688.43x = 84,652,819.96
  5. Step 5: Solve for x
    x = 84,652,819.96/9,688.43
  6. Step 6: Final answer
    x = 8,737.52

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