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Finding the Fourth Proportional to 6,472.55, 9,710.38 and 3,842.35

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Solution

The fourth proportional to 6,472.55, 9,710.38 and 3,842.35 is: 5,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.55 : 9,710.38 = 3,842.35 : x
  2. Step 2: Convert to fraction form
    6,472.55/9,710.38 = 3,842.35/x
  3. Step 3: Cross multiply
    6,472.55x = 9,710.38 × 3,842.35
  4. Step 4: Simplify right side
    6,472.55x = 37,310,659.12
  5. Step 5: Solve for x
    x = 37,310,659.12/6,472.55
  6. Step 6: Final answer
    x = 5,764.44

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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.