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Finding the Fourth Proportional to 6,712.70, 9,264.66 and 4,321.99

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Solution

The fourth proportional to 6,712.70, 9,264.66 and 4,321.99 is: 5,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.70 : 9,264.66 = 4,321.99 : x
  2. Step 2: Convert to fraction form
    6,712.70/9,264.66 = 4,321.99/x
  3. Step 3: Cross multiply
    6,712.70x = 9,264.66 × 4,321.99
  4. Step 4: Simplify right side
    6,712.70x = 40,041,767.87
  5. Step 5: Solve for x
    x = 40,041,767.87/6,712.70
  6. Step 6: Final answer
    x = 5,965.08

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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.