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Finding the Fourth Proportional to 9,886.80, 13,565.84 and 9,793.92

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Solution

The fourth proportional to 9,886.80, 13,565.84 and 9,793.92 is: 13,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.80 : 13,565.84 = 9,793.92 : x
  2. Step 2: Convert to fraction form
    9,886.80/13,565.84 = 9,793.92/x
  3. Step 3: Cross multiply
    9,886.80x = 13,565.84 × 9,793.92
  4. Step 4: Simplify right side
    9,886.80x = 132,862,702.72
  5. Step 5: Solve for x
    x = 132,862,702.72/9,886.80
  6. Step 6: Final answer
    x = 13,438.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.