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Finding the Fourth Proportional to 9,921.78, 14,884.56 and 3,260.16

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Solution

The fourth proportional to 9,921.78, 14,884.56 and 3,260.16 is: 4,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.78 : 14,884.56 = 3,260.16 : x
  2. Step 2: Convert to fraction form
    9,921.78/14,884.56 = 3,260.16/x
  3. Step 3: Cross multiply
    9,921.78x = 14,884.56 × 3,260.16
  4. Step 4: Simplify right side
    9,921.78x = 48,526,047.13
  5. Step 5: Solve for x
    x = 48,526,047.13/9,921.78
  6. Step 6: Final answer
    x = 4,890.86

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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.