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Finding the Fourth Proportional to 9,115.77, 12,574.97 and 6,278.23

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Solution

The fourth proportional to 9,115.77, 12,574.97 and 6,278.23 is: 8,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.77 : 12,574.97 = 6,278.23 : x
  2. Step 2: Convert to fraction form
    9,115.77/12,574.97 = 6,278.23/x
  3. Step 3: Cross multiply
    9,115.77x = 12,574.97 × 6,278.23
  4. Step 4: Simplify right side
    9,115.77x = 78,948,522.51
  5. Step 5: Solve for x
    x = 78,948,522.51/9,115.77
  6. Step 6: Final answer
    x = 8,660.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.