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Finding the Fourth Proportional to 9,254.48, 13,884.16 and 2,681.28

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Solution

The fourth proportional to 9,254.48, 13,884.16 and 2,681.28 is: 4,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.48 : 13,884.16 = 2,681.28 : x
  2. Step 2: Convert to fraction form
    9,254.48/13,884.16 = 2,681.28/x
  3. Step 3: Cross multiply
    9,254.48x = 13,884.16 × 2,681.28
  4. Step 4: Simplify right side
    9,254.48x = 37,227,320.52
  5. Step 5: Solve for x
    x = 37,227,320.52/9,254.48
  6. Step 6: Final answer
    x = 4,022.63

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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.