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Finding the Fourth Proportional to 9,938.29, 13,705.42 and 6,529.31

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Solution

The fourth proportional to 9,938.29, 13,705.42 and 6,529.31 is: 9,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.29 : 13,705.42 = 6,529.31 : x
  2. Step 2: Convert to fraction form
    9,938.29/13,705.42 = 6,529.31/x
  3. Step 3: Cross multiply
    9,938.29x = 13,705.42 × 6,529.31
  4. Step 4: Simplify right side
    9,938.29x = 89,486,935.86
  5. Step 5: Solve for x
    x = 89,486,935.86/9,938.29
  6. Step 6: Final answer
    x = 9,004.26

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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.