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Finding the Fourth Proportional to 6,347.34, 9,523.02 and 3,060.66

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Solution

The fourth proportional to 6,347.34, 9,523.02 and 3,060.66 is: 4,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.34 : 9,523.02 = 3,060.66 : x
  2. Step 2: Convert to fraction form
    6,347.34/9,523.02 = 3,060.66/x
  3. Step 3: Cross multiply
    6,347.34x = 9,523.02 × 3,060.66
  4. Step 4: Simplify right side
    6,347.34x = 29,146,726.39
  5. Step 5: Solve for x
    x = 29,146,726.39/6,347.34
  6. Step 6: Final answer
    x = 4,591.96

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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.