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Finding the Fourth Proportional to 8,977.13, 13,471.85 and 3,133.74

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Solution

The fourth proportional to 8,977.13, 13,471.85 and 3,133.74 is: 4,702.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.13 : 13,471.85 = 3,133.74 : x
  2. Step 2: Convert to fraction form
    8,977.13/13,471.85 = 3,133.74/x
  3. Step 3: Cross multiply
    8,977.13x = 13,471.85 × 3,133.74
  4. Step 4: Simplify right side
    8,977.13x = 42,217,301.41
  5. Step 5: Solve for x
    x = 42,217,301.41/8,977.13
  6. Step 6: Final answer
    x = 4,702.76

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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.