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Finding the Fourth Proportional to 9,116.75, 13,677.56 and 4,499.75

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Solution

The fourth proportional to 9,116.75, 13,677.56 and 4,499.75 is: 6,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.75 : 13,677.56 = 4,499.75 : x
  2. Step 2: Convert to fraction form
    9,116.75/13,677.56 = 4,499.75/x
  3. Step 3: Cross multiply
    9,116.75x = 13,677.56 × 4,499.75
  4. Step 4: Simplify right side
    9,116.75x = 61,545,600.61
  5. Step 5: Solve for x
    x = 61,545,600.61/9,116.75
  6. Step 6: Final answer
    x = 6,750.83

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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.