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Finding the Fourth Proportional to 6,117.48, 9,169.94 and 2,418.20

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Solution

The fourth proportional to 6,117.48, 9,169.94 and 2,418.20 is: 3,624.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.48 : 9,169.94 = 2,418.20 : x
  2. Step 2: Convert to fraction form
    6,117.48/9,169.94 = 2,418.20/x
  3. Step 3: Cross multiply
    6,117.48x = 9,169.94 × 2,418.20
  4. Step 4: Simplify right side
    6,117.48x = 22,174,748.91
  5. Step 5: Solve for x
    x = 22,174,748.91/6,117.48
  6. Step 6: Final answer
    x = 3,624.82

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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.