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Finding the Fourth Proportional to 9,885.72, 13,657.62 and 8,289.55

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Solution

The fourth proportional to 9,885.72, 13,657.62 and 8,289.55 is: 11,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.72 : 13,657.62 = 8,289.55 : x
  2. Step 2: Convert to fraction form
    9,885.72/13,657.62 = 8,289.55/x
  3. Step 3: Cross multiply
    9,885.72x = 13,657.62 × 8,289.55
  4. Step 4: Simplify right side
    9,885.72x = 113,215,482.42
  5. Step 5: Solve for x
    x = 113,215,482.42/9,885.72
  6. Step 6: Final answer
    x = 11,452.43

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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.