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Finding the Fourth Proportional to 9,885.42, 13,637.76 and 6,481.50

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Solution

The fourth proportional to 9,885.42, 13,637.76 and 6,481.50 is: 8,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.42 : 13,637.76 = 6,481.50 : x
  2. Step 2: Convert to fraction form
    9,885.42/13,637.76 = 6,481.50/x
  3. Step 3: Cross multiply
    9,885.42x = 13,637.76 × 6,481.50
  4. Step 4: Simplify right side
    9,885.42x = 88,393,141.44
  5. Step 5: Solve for x
    x = 88,393,141.44/9,885.42
  6. Step 6: Final answer
    x = 8,941.77

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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.