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Finding the Fourth Proportional to 9,891.39, 13,651.65 and 5,642.46

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Solution

The fourth proportional to 9,891.39, 13,651.65 and 5,642.46 is: 7,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.39 : 13,651.65 = 5,642.46 : x
  2. Step 2: Convert to fraction form
    9,891.39/13,651.65 = 5,642.46/x
  3. Step 3: Cross multiply
    9,891.39x = 13,651.65 × 5,642.46
  4. Step 4: Simplify right side
    9,891.39x = 77,028,889.06
  5. Step 5: Solve for x
    x = 77,028,889.06/9,891.39
  6. Step 6: Final answer
    x = 7,787.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.