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Finding the Fourth Proportional to 6,561.98, 9,842.54 and 4,372.02

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Solution

The fourth proportional to 6,561.98, 9,842.54 and 4,372.02 is: 6,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.98 : 9,842.54 = 4,372.02 : x
  2. Step 2: Convert to fraction form
    6,561.98/9,842.54 = 4,372.02/x
  3. Step 3: Cross multiply
    6,561.98x = 9,842.54 × 4,372.02
  4. Step 4: Simplify right side
    6,561.98x = 43,031,781.73
  5. Step 5: Solve for x
    x = 43,031,781.73/6,561.98
  6. Step 6: Final answer
    x = 6,557.74

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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.