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Finding the Fourth Proportional to 6,756.32, 10,122.30 and 6,349.68

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Solution

The fourth proportional to 6,756.32, 10,122.30 and 6,349.68 is: 9,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.32 : 10,122.30 = 6,349.68 : x
  2. Step 2: Convert to fraction form
    6,756.32/10,122.30 = 6,349.68/x
  3. Step 3: Cross multiply
    6,756.32x = 10,122.30 × 6,349.68
  4. Step 4: Simplify right side
    6,756.32x = 64,273,365.86
  5. Step 5: Solve for x
    x = 64,273,365.86/6,756.32
  6. Step 6: Final answer
    x = 9,513.07

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