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Finding the Fourth Proportional to 6,500.96, 9,749.28 and 5,412.32

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Solution

The fourth proportional to 6,500.96, 9,749.28 and 5,412.32 is: 8,116.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.96 : 9,749.28 = 5,412.32 : x
  2. Step 2: Convert to fraction form
    6,500.96/9,749.28 = 5,412.32/x
  3. Step 3: Cross multiply
    6,500.96x = 9,749.28 × 5,412.32
  4. Step 4: Simplify right side
    6,500.96x = 52,766,223.13
  5. Step 5: Solve for x
    x = 52,766,223.13/6,500.96
  6. Step 6: Final answer
    x = 8,116.68

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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.