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Finding the Fourth Proportional to 9,170.90, 12,655.88 and 5,192.78

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Solution

The fourth proportional to 9,170.90, 12,655.88 and 5,192.78 is: 7,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.90 : 12,655.88 = 5,192.78 : x
  2. Step 2: Convert to fraction form
    9,170.90/12,655.88 = 5,192.78/x
  3. Step 3: Cross multiply
    9,170.90x = 12,655.88 × 5,192.78
  4. Step 4: Simplify right side
    9,170.90x = 65,719,200.55
  5. Step 5: Solve for x
    x = 65,719,200.55/9,170.90
  6. Step 6: Final answer
    x = 7,166.06

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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.