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Finding the Fourth Proportional to 9,824.68, 13,558.06 and 5,348.46

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Solution

The fourth proportional to 9,824.68, 13,558.06 and 5,348.46 is: 7,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.68 : 13,558.06 = 5,348.46 : x
  2. Step 2: Convert to fraction form
    9,824.68/13,558.06 = 5,348.46/x
  3. Step 3: Cross multiply
    9,824.68x = 13,558.06 × 5,348.46
  4. Step 4: Simplify right side
    9,824.68x = 72,514,743.61
  5. Step 5: Solve for x
    x = 72,514,743.61/9,824.68
  6. Step 6: Final answer
    x = 7,380.88

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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.