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Finding the Fourth Proportional to 9,092.80, 13,639.20 and 7,710.40

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Solution

The fourth proportional to 9,092.80, 13,639.20 and 7,710.40 is: 11,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.80 : 13,639.20 = 7,710.40 : x
  2. Step 2: Convert to fraction form
    9,092.80/13,639.20 = 7,710.40/x
  3. Step 3: Cross multiply
    9,092.80x = 13,639.20 × 7,710.40
  4. Step 4: Simplify right side
    9,092.80x = 105,163,687.68
  5. Step 5: Solve for x
    x = 105,163,687.68/9,092.80
  6. Step 6: Final answer
    x = 11,565.60

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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.