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Finding the Fourth Proportional to 8,947.66, 13,418.76 and 4,265.20

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Solution

The fourth proportional to 8,947.66, 13,418.76 and 4,265.20 is: 6,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.66 : 13,418.76 = 4,265.20 : x
  2. Step 2: Convert to fraction form
    8,947.66/13,418.76 = 4,265.20/x
  3. Step 3: Cross multiply
    8,947.66x = 13,418.76 × 4,265.20
  4. Step 4: Simplify right side
    8,947.66x = 57,233,673.83
  5. Step 5: Solve for x
    x = 57,233,673.83/8,947.66
  6. Step 6: Final answer
    x = 6,396.50

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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.