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Finding the Fourth Proportional to 8,947.91, 13,412.64 and 6,476.60

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Solution

The fourth proportional to 8,947.91, 13,412.64 and 6,476.60 is: 9,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.91 : 13,412.64 = 6,476.60 : x
  2. Step 2: Convert to fraction form
    8,947.91/13,412.64 = 6,476.60/x
  3. Step 3: Cross multiply
    8,947.91x = 13,412.64 × 6,476.60
  4. Step 4: Simplify right side
    8,947.91x = 86,868,304.22
  5. Step 5: Solve for x
    x = 86,868,304.22/8,947.91
  6. Step 6: Final answer
    x = 9,708.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.