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Finding the Fourth Proportional to 9,254.48, 13,902.20 and 5,148.24

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Solution

The fourth proportional to 9,254.48, 13,902.20 and 5,148.24 is: 7,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.48 : 13,902.20 = 5,148.24 : x
  2. Step 2: Convert to fraction form
    9,254.48/13,902.20 = 5,148.24/x
  3. Step 3: Cross multiply
    9,254.48x = 13,902.20 × 5,148.24
  4. Step 4: Simplify right side
    9,254.48x = 71,571,862.13
  5. Step 5: Solve for x
    x = 71,571,862.13/9,254.48
  6. Step 6: Final answer
    x = 7,733.75

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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.