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Finding the Fourth Proportional to 6,561.78, 9,842.56 and 3,930.02

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Solution

The fourth proportional to 6,561.78, 9,842.56 and 3,930.02 is: 5,894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.78 : 9,842.56 = 3,930.02 : x
  2. Step 2: Convert to fraction form
    6,561.78/9,842.56 = 3,930.02/x
  3. Step 3: Cross multiply
    6,561.78x = 9,842.56 × 3,930.02
  4. Step 4: Simplify right side
    6,561.78x = 38,681,457.65
  5. Step 5: Solve for x
    x = 38,681,457.65/6,561.78
  6. Step 6: Final answer
    x = 5,894.96

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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.