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Finding the Fourth Proportional to 9,687.19, 13,371.20 and 5,709.59

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Solution

The fourth proportional to 9,687.19, 13,371.20 and 5,709.59 is: 7,880.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.19 : 13,371.20 = 5,709.59 : x
  2. Step 2: Convert to fraction form
    9,687.19/13,371.20 = 5,709.59/x
  3. Step 3: Cross multiply
    9,687.19x = 13,371.20 × 5,709.59
  4. Step 4: Simplify right side
    9,687.19x = 76,344,069.81
  5. Step 5: Solve for x
    x = 76,344,069.81/9,687.19
  6. Step 6: Final answer
    x = 7,880.93

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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.