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Finding the Fourth Proportional to 6,074.48, 9,112.68 and 5,288.87

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Solution

The fourth proportional to 6,074.48, 9,112.68 and 5,288.87 is: 7,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.48 : 9,112.68 = 5,288.87 : x
  2. Step 2: Convert to fraction form
    6,074.48/9,112.68 = 5,288.87/x
  3. Step 3: Cross multiply
    6,074.48x = 9,112.68 × 5,288.87
  4. Step 4: Simplify right side
    6,074.48x = 48,195,802.65
  5. Step 5: Solve for x
    x = 48,195,802.65/6,074.48
  6. Step 6: Final answer
    x = 7,934.14

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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.