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Finding the Fourth Proportional to 6,194.60, 9,291.90 and 4,315.40

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Solution

The fourth proportional to 6,194.60, 9,291.90 and 4,315.40 is: 6,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.60 : 9,291.90 = 4,315.40 : x
  2. Step 2: Convert to fraction form
    6,194.60/9,291.90 = 4,315.40/x
  3. Step 3: Cross multiply
    6,194.60x = 9,291.90 × 4,315.40
  4. Step 4: Simplify right side
    6,194.60x = 40,098,265.26
  5. Step 5: Solve for x
    x = 40,098,265.26/6,194.60
  6. Step 6: Final answer
    x = 6,473.10

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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.