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Finding the Fourth Proportional to 8,977.83, 13,472.55 and 4,047.17

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Solution

The fourth proportional to 8,977.83, 13,472.55 and 4,047.17 is: 6,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.83 : 13,472.55 = 4,047.17 : x
  2. Step 2: Convert to fraction form
    8,977.83/13,472.55 = 4,047.17/x
  3. Step 3: Cross multiply
    8,977.83x = 13,472.55 × 4,047.17
  4. Step 4: Simplify right side
    8,977.83x = 54,525,701.04
  5. Step 5: Solve for x
    x = 54,525,701.04/8,977.83
  6. Step 6: Final answer
    x = 6,073.37

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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.