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Finding the Fourth Proportional to 6,505.17, 8,975.03 and 3,984.65

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Solution

The fourth proportional to 6,505.17, 8,975.03 and 3,984.65 is: 5,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.17 : 8,975.03 = 3,984.65 : x
  2. Step 2: Convert to fraction form
    6,505.17/8,975.03 = 3,984.65/x
  3. Step 3: Cross multiply
    6,505.17x = 8,975.03 × 3,984.65
  4. Step 4: Simplify right side
    6,505.17x = 35,762,353.29
  5. Step 5: Solve for x
    x = 35,762,353.29/6,505.17
  6. Step 6: Final answer
    x = 5,497.53

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