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Finding the Fourth Proportional to 9,414.41, 14,116.14 and 5,029.47

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Solution

The fourth proportional to 9,414.41, 14,116.14 and 5,029.47 is: 7,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.41 : 14,116.14 = 5,029.47 : x
  2. Step 2: Convert to fraction form
    9,414.41/14,116.14 = 5,029.47/x
  3. Step 3: Cross multiply
    9,414.41x = 14,116.14 × 5,029.47
  4. Step 4: Simplify right side
    9,414.41x = 70,996,702.65
  5. Step 5: Solve for x
    x = 70,996,702.65/9,414.41
  6. Step 6: Final answer
    x = 7,541.28

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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.