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Finding the Fourth Proportional to 9,732.99, 13,432.52 and 5,958.65

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Solution

The fourth proportional to 9,732.99, 13,432.52 and 5,958.65 is: 8,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.99 : 13,432.52 = 5,958.65 : x
  2. Step 2: Convert to fraction form
    9,732.99/13,432.52 = 5,958.65/x
  3. Step 3: Cross multiply
    9,732.99x = 13,432.52 × 5,958.65
  4. Step 4: Simplify right side
    9,732.99x = 80,039,733.78
  5. Step 5: Solve for x
    x = 80,039,733.78/9,732.99
  6. Step 6: Final answer
    x = 8,223.55

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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.