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Finding the Fourth Proportional to 6,354.68, 9,534.72 and 3,429.58

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Solution

The fourth proportional to 6,354.68, 9,534.72 and 3,429.58 is: 5,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.68 : 9,534.72 = 3,429.58 : x
  2. Step 2: Convert to fraction form
    6,354.68/9,534.72 = 3,429.58/x
  3. Step 3: Cross multiply
    6,354.68x = 9,534.72 × 3,429.58
  4. Step 4: Simplify right side
    6,354.68x = 32,700,085.02
  5. Step 5: Solve for x
    x = 32,700,085.02/6,354.68
  6. Step 6: Final answer
    x = 5,145.83

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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.