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Finding the Fourth Proportional to 9,502.29, 13,116.42 and 6,527.97

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Solution

The fourth proportional to 9,502.29, 13,116.42 and 6,527.97 is: 9,010.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.29 : 13,116.42 = 6,527.97 : x
  2. Step 2: Convert to fraction form
    9,502.29/13,116.42 = 6,527.97/x
  3. Step 3: Cross multiply
    9,502.29x = 13,116.42 × 6,527.97
  4. Step 4: Simplify right side
    9,502.29x = 85,623,596.27
  5. Step 5: Solve for x
    x = 85,623,596.27/9,502.29
  6. Step 6: Final answer
    x = 9,010.84

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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.