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Finding the Fourth Proportional to 6,530.80, 9,785.40 and 5,429.20

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Solution

The fourth proportional to 6,530.80, 9,785.40 and 5,429.20 is: 8,134.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.80 : 9,785.40 = 5,429.20 : x
  2. Step 2: Convert to fraction form
    6,530.80/9,785.40 = 5,429.20/x
  3. Step 3: Cross multiply
    6,530.80x = 9,785.40 × 5,429.20
  4. Step 4: Simplify right side
    6,530.80x = 53,126,893.68
  5. Step 5: Solve for x
    x = 53,126,893.68/6,530.80
  6. Step 6: Final answer
    x = 8,134.82

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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.