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Finding the Fourth Proportional to 10,034.22, 13,836.27 and 6,847.86

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Solution

The fourth proportional to 10,034.22, 13,836.27 and 6,847.86 is: 9,442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.22 : 13,836.27 = 6,847.86 : x
  2. Step 2: Convert to fraction form
    10,034.22/13,836.27 = 6,847.86/x
  3. Step 3: Cross multiply
    10,034.22x = 13,836.27 × 6,847.86
  4. Step 4: Simplify right side
    10,034.22x = 94,748,839.88
  5. Step 5: Solve for x
    x = 94,748,839.88/10,034.22
  6. Step 6: Final answer
    x = 9,442.57

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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.