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Finding the Fourth Proportional to 9,151.60, 13,727.40 and 6,235.60

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Solution

The fourth proportional to 9,151.60, 13,727.40 and 6,235.60 is: 9,353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.60 : 13,727.40 = 6,235.60 : x
  2. Step 2: Convert to fraction form
    9,151.60/13,727.40 = 6,235.60/x
  3. Step 3: Cross multiply
    9,151.60x = 13,727.40 × 6,235.60
  4. Step 4: Simplify right side
    9,151.60x = 85,598,575.44
  5. Step 5: Solve for x
    x = 85,598,575.44/9,151.60
  6. Step 6: Final answer
    x = 9,353.40

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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.