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Finding the Fourth Proportional to 8,937.74, 12,334.38 and 6,695.66

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Solution

The fourth proportional to 8,937.74, 12,334.38 and 6,695.66 is: 9,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.74 : 12,334.38 = 6,695.66 : x
  2. Step 2: Convert to fraction form
    8,937.74/12,334.38 = 6,695.66/x
  3. Step 3: Cross multiply
    8,937.74x = 12,334.38 × 6,695.66
  4. Step 4: Simplify right side
    8,937.74x = 82,586,814.79
  5. Step 5: Solve for x
    x = 82,586,814.79/8,937.74
  6. Step 6: Final answer
    x = 9,240.23

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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.