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Finding the Fourth Proportional to 6,984.74, 9,642.71 and 5,387.92

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Solution

The fourth proportional to 6,984.74, 9,642.71 and 5,387.92 is: 7,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.74 : 9,642.71 = 5,387.92 : x
  2. Step 2: Convert to fraction form
    6,984.74/9,642.71 = 5,387.92/x
  3. Step 3: Cross multiply
    6,984.74x = 9,642.71 × 5,387.92
  4. Step 4: Simplify right side
    6,984.74x = 51,954,150.06
  5. Step 5: Solve for x
    x = 51,954,150.06/6,984.74
  6. Step 6: Final answer
    x = 7,438.24

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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.