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Finding the Fourth Proportional to 9,721.66, 14,580.77 and 2,702.17

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Solution

The fourth proportional to 9,721.66, 14,580.77 and 2,702.17 is: 4,052.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.66 : 14,580.77 = 2,702.17 : x
  2. Step 2: Convert to fraction form
    9,721.66/14,580.77 = 2,702.17/x
  3. Step 3: Cross multiply
    9,721.66x = 14,580.77 × 2,702.17
  4. Step 4: Simplify right side
    9,721.66x = 39,399,719.27
  5. Step 5: Solve for x
    x = 39,399,719.27/9,721.66
  6. Step 6: Final answer
    x = 4,052.78

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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.