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Finding the Fourth Proportional to 9,139.10, 13,714.28 and 3,591.47

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Solution

The fourth proportional to 9,139.10, 13,714.28 and 3,591.47 is: 5,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.10 : 13,714.28 = 3,591.47 : x
  2. Step 2: Convert to fraction form
    9,139.10/13,714.28 = 3,591.47/x
  3. Step 3: Cross multiply
    9,139.10x = 13,714.28 × 3,591.47
  4. Step 4: Simplify right side
    9,139.10x = 49,254,365.60
  5. Step 5: Solve for x
    x = 49,254,365.60/9,139.10
  6. Step 6: Final answer
    x = 5,389.41

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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.