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Finding the Fourth Proportional to 9,882.14, 14,829.06 and 3,646.54

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Solution

The fourth proportional to 9,882.14, 14,829.06 and 3,646.54 is: 5,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.14 : 14,829.06 = 3,646.54 : x
  2. Step 2: Convert to fraction form
    9,882.14/14,829.06 = 3,646.54/x
  3. Step 3: Cross multiply
    9,882.14x = 14,829.06 × 3,646.54
  4. Step 4: Simplify right side
    9,882.14x = 54,074,686.31
  5. Step 5: Solve for x
    x = 54,074,686.31/9,882.14
  6. Step 6: Final answer
    x = 5,471.96

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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.