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Finding the Fourth Proportional to 9,688.85, 13,372.46 and 6,334.55

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Solution

The fourth proportional to 9,688.85, 13,372.46 and 6,334.55 is: 8,742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.85 : 13,372.46 = 6,334.55 : x
  2. Step 2: Convert to fraction form
    9,688.85/13,372.46 = 6,334.55/x
  3. Step 3: Cross multiply
    9,688.85x = 13,372.46 × 6,334.55
  4. Step 4: Simplify right side
    9,688.85x = 84,708,516.49
  5. Step 5: Solve for x
    x = 84,708,516.49/9,688.85
  6. Step 6: Final answer
    x = 8,742.89

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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.