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Finding the Fourth Proportional to 6,475.52, 9,717.60 and 3,358.40

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Solution

The fourth proportional to 6,475.52, 9,717.60 and 3,358.40 is: 5,039.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.52 : 9,717.60 = 3,358.40 : x
  2. Step 2: Convert to fraction form
    6,475.52/9,717.60 = 3,358.40/x
  3. Step 3: Cross multiply
    6,475.52x = 9,717.60 × 3,358.40
  4. Step 4: Simplify right side
    6,475.52x = 32,635,587.84
  5. Step 5: Solve for x
    x = 32,635,587.84/6,475.52
  6. Step 6: Final answer
    x = 5,039.84

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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.