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Finding the Fourth Proportional to 6,147.90, 9,209.70 and 4,179.60

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Solution

The fourth proportional to 6,147.90, 9,209.70 and 4,179.60 is: 6,261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.90 : 9,209.70 = 4,179.60 : x
  2. Step 2: Convert to fraction form
    6,147.90/9,209.70 = 4,179.60/x
  3. Step 3: Cross multiply
    6,147.90x = 9,209.70 × 4,179.60
  4. Step 4: Simplify right side
    6,147.90x = 38,492,862.12
  5. Step 5: Solve for x
    x = 38,492,862.12/6,147.90
  6. Step 6: Final answer
    x = 6,261.14

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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.