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Finding the Fourth Proportional to 6,155.34, 9,232.14 and 3,514.27

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Solution

The fourth proportional to 6,155.34, 9,232.14 and 3,514.27 is: 5,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.34 : 9,232.14 = 3,514.27 : x
  2. Step 2: Convert to fraction form
    6,155.34/9,232.14 = 3,514.27/x
  3. Step 3: Cross multiply
    6,155.34x = 9,232.14 × 3,514.27
  4. Step 4: Simplify right side
    6,155.34x = 32,444,264.17
  5. Step 5: Solve for x
    x = 32,444,264.17/6,155.34
  6. Step 6: Final answer
    x = 5,270.91

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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.