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Finding the Fourth Proportional to 9,261.53, 13,884.09 and 7,080

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Solution

The fourth proportional to 9,261.53, 13,884.09 and 7,080 is: 10,613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.53 : 13,884.09 = 7,080 : x
  2. Step 2: Convert to fraction form
    9,261.53/13,884.09 = 7,080/x
  3. Step 3: Cross multiply
    9,261.53x = 13,884.09 × 7,080
  4. Step 4: Simplify right side
    9,261.53x = 98,299,357.20
  5. Step 5: Solve for x
    x = 98,299,357.20/9,261.53
  6. Step 6: Final answer
    x = 10,613.73

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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.