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Finding the Fourth Proportional to 7,542.80, 11,314.20 and 6,429.20

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Solution

The fourth proportional to 7,542.80, 11,314.20 and 6,429.20 is: 9,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.80 : 11,314.20 = 6,429.20 : x
  2. Step 2: Convert to fraction form
    7,542.80/11,314.20 = 6,429.20/x
  3. Step 3: Cross multiply
    7,542.80x = 11,314.20 × 6,429.20
  4. Step 4: Simplify right side
    7,542.80x = 72,741,254.64
  5. Step 5: Solve for x
    x = 72,741,254.64/7,542.80
  6. Step 6: Final answer
    x = 9,643.80

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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.