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Finding the Fourth Proportional to 9,627.74, 14,443.06 and 4,081.10

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Solution

The fourth proportional to 9,627.74, 14,443.06 and 4,081.10 is: 6,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.74 : 14,443.06 = 4,081.10 : x
  2. Step 2: Convert to fraction form
    9,627.74/14,443.06 = 4,081.10/x
  3. Step 3: Cross multiply
    9,627.74x = 14,443.06 × 4,081.10
  4. Step 4: Simplify right side
    9,627.74x = 58,943,572.17
  5. Step 5: Solve for x
    x = 58,943,572.17/9,627.74
  6. Step 6: Final answer
    x = 6,122.26

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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.