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Finding the Fourth Proportional to 9,078.86, 12,524.54 and 7,766.66

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Solution

The fourth proportional to 9,078.86, 12,524.54 and 7,766.66 is: 10,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.86 : 12,524.54 = 7,766.66 : x
  2. Step 2: Convert to fraction form
    9,078.86/12,524.54 = 7,766.66/x
  3. Step 3: Cross multiply
    9,078.86x = 12,524.54 × 7,766.66
  4. Step 4: Simplify right side
    9,078.86x = 97,273,843.84
  5. Step 5: Solve for x
    x = 97,273,843.84/9,078.86
  6. Step 6: Final answer
    x = 10,714.32

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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.