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Finding the Fourth Proportional to 6,396.04, 9,581.35 and 5,002.86

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Solution

The fourth proportional to 6,396.04, 9,581.35 and 5,002.86 is: 7,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.04 : 9,581.35 = 5,002.86 : x
  2. Step 2: Convert to fraction form
    6,396.04/9,581.35 = 5,002.86/x
  3. Step 3: Cross multiply
    6,396.04x = 9,581.35 × 5,002.86
  4. Step 4: Simplify right side
    6,396.04x = 47,934,152.66
  5. Step 5: Solve for x
    x = 47,934,152.66/6,396.04
  6. Step 6: Final answer
    x = 7,494.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.