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Finding the Fourth Proportional to 7,170.12, 9,895.38 and 3,984.02

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Solution

The fourth proportional to 7,170.12, 9,895.38 and 3,984.02 is: 5,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.12 : 9,895.38 = 3,984.02 : x
  2. Step 2: Convert to fraction form
    7,170.12/9,895.38 = 3,984.02/x
  3. Step 3: Cross multiply
    7,170.12x = 9,895.38 × 3,984.02
  4. Step 4: Simplify right side
    7,170.12x = 39,423,391.83
  5. Step 5: Solve for x
    x = 39,423,391.83/7,170.12
  6. Step 6: Final answer
    x = 5,498.29

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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.