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Finding the Fourth Proportional to 9,799.34, 13,527.48 and 5,821.74

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Solution

The fourth proportional to 9,799.34, 13,527.48 and 5,821.74 is: 8,036.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.34 : 13,527.48 = 5,821.74 : x
  2. Step 2: Convert to fraction form
    9,799.34/13,527.48 = 5,821.74/x
  3. Step 3: Cross multiply
    9,799.34x = 13,527.48 × 5,821.74
  4. Step 4: Simplify right side
    9,799.34x = 78,753,471.42
  5. Step 5: Solve for x
    x = 78,753,471.42/9,799.34
  6. Step 6: Final answer
    x = 8,036.61

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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.