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Finding the Fourth Proportional to 9,116.87, 13,675.29 and 7,039.91

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Solution

The fourth proportional to 9,116.87, 13,675.29 and 7,039.91 is: 10,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.87 : 13,675.29 = 7,039.91 : x
  2. Step 2: Convert to fraction form
    9,116.87/13,675.29 = 7,039.91/x
  3. Step 3: Cross multiply
    9,116.87x = 13,675.29 × 7,039.91
  4. Step 4: Simplify right side
    9,116.87x = 96,272,742.45
  5. Step 5: Solve for x
    x = 96,272,742.45/9,116.87
  6. Step 6: Final answer
    x = 10,559.85

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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.