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Finding the Fourth Proportional to 8,941.60, 12,335.36 and 6,842.08

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Solution

The fourth proportional to 8,941.60, 12,335.36 and 6,842.08 is: 9,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.60 : 12,335.36 = 6,842.08 : x
  2. Step 2: Convert to fraction form
    8,941.60/12,335.36 = 6,842.08/x
  3. Step 3: Cross multiply
    8,941.60x = 12,335.36 × 6,842.08
  4. Step 4: Simplify right side
    8,941.60x = 84,399,519.95
  5. Step 5: Solve for x
    x = 84,399,519.95/8,941.60
  6. Step 6: Final answer
    x = 9,438.97

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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.