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Finding the Fourth Proportional to 9,129.60, 12,594.84 and 5,350.85

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Solution

The fourth proportional to 9,129.60, 12,594.84 and 5,350.85 is: 7,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.60 : 12,594.84 = 5,350.85 : x
  2. Step 2: Convert to fraction form
    9,129.60/12,594.84 = 5,350.85/x
  3. Step 3: Cross multiply
    9,129.60x = 12,594.84 × 5,350.85
  4. Step 4: Simplify right side
    9,129.60x = 67,393,036.64
  5. Step 5: Solve for x
    x = 67,393,036.64/9,129.60
  6. Step 6: Final answer
    x = 7,381.82

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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.