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Finding the Fourth Proportional to 9,428.78, 14,146.95 and 3,884.87

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Solution

The fourth proportional to 9,428.78, 14,146.95 and 3,884.87 is: 5,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.78 : 14,146.95 = 3,884.87 : x
  2. Step 2: Convert to fraction form
    9,428.78/14,146.95 = 3,884.87/x
  3. Step 3: Cross multiply
    9,428.78x = 14,146.95 × 3,884.87
  4. Step 4: Simplify right side
    9,428.78x = 54,959,061.65
  5. Step 5: Solve for x
    x = 54,959,061.65/9,428.78
  6. Step 6: Final answer
    x = 5,828.86

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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.