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Finding the Fourth Proportional to 6,126.24, 9,173.04 and 4,182.24

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Solution

The fourth proportional to 6,126.24, 9,173.04 and 4,182.24 is: 6,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.24 : 9,173.04 = 4,182.24 : x
  2. Step 2: Convert to fraction form
    6,126.24/9,173.04 = 4,182.24/x
  3. Step 3: Cross multiply
    6,126.24x = 9,173.04 × 4,182.24
  4. Step 4: Simplify right side
    6,126.24x = 38,363,854.81
  5. Step 5: Solve for x
    x = 38,363,854.81/6,126.24
  6. Step 6: Final answer
    x = 6,262.22

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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.