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Finding the Fourth Proportional to 6,948.59, 9,589.39 and 3,965.00

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Solution

The fourth proportional to 6,948.59, 9,589.39 and 3,965.00 is: 5,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.59 : 9,589.39 = 3,965.00 : x
  2. Step 2: Convert to fraction form
    6,948.59/9,589.39 = 3,965.00/x
  3. Step 3: Cross multiply
    6,948.59x = 9,589.39 × 3,965.00
  4. Step 4: Simplify right side
    6,948.59x = 38,021,927.43
  5. Step 5: Solve for x
    x = 38,021,927.43/6,948.59
  6. Step 6: Final answer
    x = 5,471.89

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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.