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Finding the Fourth Proportional to 6,952.91, 9,589.59 and 4,301.78

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Solution

The fourth proportional to 6,952.91, 9,589.59 and 4,301.78 is: 5,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.91 : 9,589.59 = 4,301.78 : x
  2. Step 2: Convert to fraction form
    6,952.91/9,589.59 = 4,301.78/x
  3. Step 3: Cross multiply
    6,952.91x = 9,589.59 × 4,301.78
  4. Step 4: Simplify right side
    6,952.91x = 41,252,258.52
  5. Step 5: Solve for x
    x = 41,252,258.52/6,952.91
  6. Step 6: Final answer
    x = 5,933.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.