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Finding the Fourth Proportional to 9,591.88, 14,385.14 and 6,076.66

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Solution

The fourth proportional to 9,591.88, 14,385.14 and 6,076.66 is: 9,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.88 : 14,385.14 = 6,076.66 : x
  2. Step 2: Convert to fraction form
    9,591.88/14,385.14 = 6,076.66/x
  3. Step 3: Cross multiply
    9,591.88x = 14,385.14 × 6,076.66
  4. Step 4: Simplify right side
    9,591.88x = 87,413,604.83
  5. Step 5: Solve for x
    x = 87,413,604.83/9,591.88
  6. Step 6: Final answer
    x = 9,113.29

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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.