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Finding the Fourth Proportional to 9,935.87, 13,711.46 and 5,686.91

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Solution

The fourth proportional to 9,935.87, 13,711.46 and 5,686.91 is: 7,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.87 : 13,711.46 = 5,686.91 : x
  2. Step 2: Convert to fraction form
    9,935.87/13,711.46 = 5,686.91/x
  3. Step 3: Cross multiply
    9,935.87x = 13,711.46 × 5,686.91
  4. Step 4: Simplify right side
    9,935.87x = 77,975,838.99
  5. Step 5: Solve for x
    x = 77,975,838.99/9,935.87
  6. Step 6: Final answer
    x = 7,847.91

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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.