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Finding the Fourth Proportional to 9,288.60, 13,932.90 and 8,575.80

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Solution

The fourth proportional to 9,288.60, 13,932.90 and 8,575.80 is: 12,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.60 : 13,932.90 = 8,575.80 : x
  2. Step 2: Convert to fraction form
    9,288.60/13,932.90 = 8,575.80/x
  3. Step 3: Cross multiply
    9,288.60x = 13,932.90 × 8,575.80
  4. Step 4: Simplify right side
    9,288.60x = 119,485,763.82
  5. Step 5: Solve for x
    x = 119,485,763.82/9,288.60
  6. Step 6: Final answer
    x = 12,863.70

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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.