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Finding the Fourth Proportional to 9,146.25, 12,622.13 and 5,608.78

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Solution

The fourth proportional to 9,146.25, 12,622.13 and 5,608.78 is: 7,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.25 : 12,622.13 = 5,608.78 : x
  2. Step 2: Convert to fraction form
    9,146.25/12,622.13 = 5,608.78/x
  3. Step 3: Cross multiply
    9,146.25x = 12,622.13 × 5,608.78
  4. Step 4: Simplify right side
    9,146.25x = 70,794,711.74
  5. Step 5: Solve for x
    x = 70,794,711.74/9,146.25
  6. Step 6: Final answer
    x = 7,740.30

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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.