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Finding the Fourth Proportional to 9,454.84, 13,047.49 and 5,920

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Solution

The fourth proportional to 9,454.84, 13,047.49 and 5,920 is: 8,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.84 : 13,047.49 = 5,920 : x
  2. Step 2: Convert to fraction form
    9,454.84/13,047.49 = 5,920/x
  3. Step 3: Cross multiply
    9,454.84x = 13,047.49 × 5,920
  4. Step 4: Simplify right side
    9,454.84x = 77,241,140.80
  5. Step 5: Solve for x
    x = 77,241,140.80/9,454.84
  6. Step 6: Final answer
    x = 8,169.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.