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Finding the Fourth Proportional to 6,134.13, 9,200.28 and 2,237.63

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Solution

The fourth proportional to 6,134.13, 9,200.28 and 2,237.63 is: 3,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.13 : 9,200.28 = 2,237.63 : x
  2. Step 2: Convert to fraction form
    6,134.13/9,200.28 = 2,237.63/x
  3. Step 3: Cross multiply
    6,134.13x = 9,200.28 × 2,237.63
  4. Step 4: Simplify right side
    6,134.13x = 20,586,784.93
  5. Step 5: Solve for x
    x = 20,586,784.93/6,134.13
  6. Step 6: Final answer
    x = 3,356.11

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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.