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Finding the Fourth Proportional to 9,615.68, 13,268.04 and 6,423.86

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Solution

The fourth proportional to 9,615.68, 13,268.04 and 6,423.86 is: 8,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.68 : 13,268.04 = 6,423.86 : x
  2. Step 2: Convert to fraction form
    9,615.68/13,268.04 = 6,423.86/x
  3. Step 3: Cross multiply
    9,615.68x = 13,268.04 × 6,423.86
  4. Step 4: Simplify right side
    9,615.68x = 85,232,031.43
  5. Step 5: Solve for x
    x = 85,232,031.43/9,615.68
  6. Step 6: Final answer
    x = 8,863.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.