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Finding the Fourth Proportional to 9,680.68, 13,358.37 and 5,702.77

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Solution

The fourth proportional to 9,680.68, 13,358.37 and 5,702.77 is: 7,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.68 : 13,358.37 = 5,702.77 : x
  2. Step 2: Convert to fraction form
    9,680.68/13,358.37 = 5,702.77/x
  3. Step 3: Cross multiply
    9,680.68x = 13,358.37 × 5,702.77
  4. Step 4: Simplify right side
    9,680.68x = 76,179,711.68
  5. Step 5: Solve for x
    x = 76,179,711.68/9,680.68
  6. Step 6: Final answer
    x = 7,869.25

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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.