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Finding the Fourth Proportional to 9,146.71, 12,622.39 and 5,168.60

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Solution

The fourth proportional to 9,146.71, 12,622.39 and 5,168.60 is: 7,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.71 : 12,622.39 = 5,168.60 : x
  2. Step 2: Convert to fraction form
    9,146.71/12,622.39 = 5,168.60/x
  3. Step 3: Cross multiply
    9,146.71x = 12,622.39 × 5,168.60
  4. Step 4: Simplify right side
    9,146.71x = 65,240,084.95
  5. Step 5: Solve for x
    x = 65,240,084.95/9,146.71
  6. Step 6: Final answer
    x = 7,132.63

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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.