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Finding the Fourth Proportional to 9,091.80, 13,637.70 and 6,139.35

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Solution

The fourth proportional to 9,091.80, 13,637.70 and 6,139.35 is: 9,209.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.80 : 13,637.70 = 6,139.35 : x
  2. Step 2: Convert to fraction form
    9,091.80/13,637.70 = 6,139.35/x
  3. Step 3: Cross multiply
    9,091.80x = 13,637.70 × 6,139.35
  4. Step 4: Simplify right side
    9,091.80x = 83,726,613.50
  5. Step 5: Solve for x
    x = 83,726,613.50/9,091.80
  6. Step 6: Final answer
    x = 9,209.03

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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.