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Finding the Fourth Proportional to 9,343.46, 12,886.68 and 5,986.58

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Solution

The fourth proportional to 9,343.46, 12,886.68 and 5,986.58 is: 8,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.46 : 12,886.68 = 5,986.58 : x
  2. Step 2: Convert to fraction form
    9,343.46/12,886.68 = 5,986.58/x
  3. Step 3: Cross multiply
    9,343.46x = 12,886.68 × 5,986.58
  4. Step 4: Simplify right side
    9,343.46x = 77,147,140.75
  5. Step 5: Solve for x
    x = 77,147,140.75/9,343.46
  6. Step 6: Final answer
    x = 8,256.81

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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.