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Finding the Fourth Proportional to 9,091.38, 12,535.75 and 6,401.74

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Solution

The fourth proportional to 9,091.38, 12,535.75 and 6,401.74 is: 8,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.38 : 12,535.75 = 6,401.74 : x
  2. Step 2: Convert to fraction form
    9,091.38/12,535.75 = 6,401.74/x
  3. Step 3: Cross multiply
    9,091.38x = 12,535.75 × 6,401.74
  4. Step 4: Simplify right side
    9,091.38x = 80,250,549.53
  5. Step 5: Solve for x
    x = 80,250,549.53/9,091.38
  6. Step 6: Final answer
    x = 8,827.11

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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.