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Finding the Fourth Proportional to 9,932.70, 13,713.15 and 6,578.39

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Solution

The fourth proportional to 9,932.70, 13,713.15 and 6,578.39 is: 9,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.70 : 13,713.15 = 6,578.39 : x
  2. Step 2: Convert to fraction form
    9,932.70/13,713.15 = 6,578.39/x
  3. Step 3: Cross multiply
    9,932.70x = 13,713.15 × 6,578.39
  4. Step 4: Simplify right side
    9,932.70x = 90,210,448.83
  5. Step 5: Solve for x
    x = 90,210,448.83/9,932.70
  6. Step 6: Final answer
    x = 9,082.17

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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.