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Finding the Fourth Proportional to 9,098.40, 12,554.78 and 5,119.43

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Solution

The fourth proportional to 9,098.40, 12,554.78 and 5,119.43 is: 7,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.40 : 12,554.78 = 5,119.43 : x
  2. Step 2: Convert to fraction form
    9,098.40/12,554.78 = 5,119.43/x
  3. Step 3: Cross multiply
    9,098.40x = 12,554.78 × 5,119.43
  4. Step 4: Simplify right side
    9,098.40x = 64,273,229.00
  5. Step 5: Solve for x
    x = 64,273,229.00/9,098.40
  6. Step 6: Final answer
    x = 7,064.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.