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Finding the Fourth Proportional to 9,147.60, 13,721.40 and 6,231.60

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Solution

The fourth proportional to 9,147.60, 13,721.40 and 6,231.60 is: 9,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.60 : 13,721.40 = 6,231.60 : x
  2. Step 2: Convert to fraction form
    9,147.60/13,721.40 = 6,231.60/x
  3. Step 3: Cross multiply
    9,147.60x = 13,721.40 × 6,231.60
  4. Step 4: Simplify right side
    9,147.60x = 85,506,276.24
  5. Step 5: Solve for x
    x = 85,506,276.24/9,147.60
  6. Step 6: Final answer
    x = 9,347.40

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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.