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Finding the Fourth Proportional to 6,283.60, 9,425.40 and 6,186.40

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Solution

The fourth proportional to 6,283.60, 9,425.40 and 6,186.40 is: 9,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.60 : 9,425.40 = 6,186.40 : x
  2. Step 2: Convert to fraction form
    6,283.60/9,425.40 = 6,186.40/x
  3. Step 3: Cross multiply
    6,283.60x = 9,425.40 × 6,186.40
  4. Step 4: Simplify right side
    6,283.60x = 58,309,294.56
  5. Step 5: Solve for x
    x = 58,309,294.56/6,283.60
  6. Step 6: Final answer
    x = 9,279.60

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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.