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Finding the Fourth Proportional to 9,687.61, 13,367.31 and 5,708.18

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Solution

The fourth proportional to 9,687.61, 13,367.31 and 5,708.18 is: 7,876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.61 : 13,367.31 = 5,708.18 : x
  2. Step 2: Convert to fraction form
    9,687.61/13,367.31 = 5,708.18/x
  3. Step 3: Cross multiply
    9,687.61x = 13,367.31 × 5,708.18
  4. Step 4: Simplify right side
    9,687.61x = 76,302,966.35
  5. Step 5: Solve for x
    x = 76,302,966.35/9,687.61
  6. Step 6: Final answer
    x = 7,876.35

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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.