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Finding the Fourth Proportional to 6,078.43, 9,113.82 and 2,566.63

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Solution

The fourth proportional to 6,078.43, 9,113.82 and 2,566.63 is: 3,848.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.43 : 9,113.82 = 2,566.63 : x
  2. Step 2: Convert to fraction form
    6,078.43/9,113.82 = 2,566.63/x
  3. Step 3: Cross multiply
    6,078.43x = 9,113.82 × 2,566.63
  4. Step 4: Simplify right side
    6,078.43x = 23,391,803.83
  5. Step 5: Solve for x
    x = 23,391,803.83/6,078.43
  6. Step 6: Final answer
    x = 3,848.33

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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.