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Finding the Fourth Proportional to 6,505.86, 9,755.28 and 3,378.15

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Solution

The fourth proportional to 6,505.86, 9,755.28 and 3,378.15 is: 5,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.86 : 9,755.28 = 3,378.15 : x
  2. Step 2: Convert to fraction form
    6,505.86/9,755.28 = 3,378.15/x
  3. Step 3: Cross multiply
    6,505.86x = 9,755.28 × 3,378.15
  4. Step 4: Simplify right side
    6,505.86x = 32,954,799.13
  5. Step 5: Solve for x
    x = 32,954,799.13/6,505.86
  6. Step 6: Final answer
    x = 5,065.40

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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.