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Finding the Fourth Proportional to 9,861.42, 13,585.62 and 6,871.86

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Solution

The fourth proportional to 9,861.42, 13,585.62 and 6,871.86 is: 9,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.42 : 13,585.62 = 6,871.86 : x
  2. Step 2: Convert to fraction form
    9,861.42/13,585.62 = 6,871.86/x
  3. Step 3: Cross multiply
    9,861.42x = 13,585.62 × 6,871.86
  4. Step 4: Simplify right side
    9,861.42x = 93,358,478.65
  5. Step 5: Solve for x
    x = 93,358,478.65/9,861.42
  6. Step 6: Final answer
    x = 9,467.04

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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.