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Finding the Fourth Proportional to 6,317.49, 9,470.82 and 3,541.89

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Solution

The fourth proportional to 6,317.49, 9,470.82 and 3,541.89 is: 5,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.49 : 9,470.82 = 3,541.89 : x
  2. Step 2: Convert to fraction form
    6,317.49/9,470.82 = 3,541.89/x
  3. Step 3: Cross multiply
    6,317.49x = 9,470.82 × 3,541.89
  4. Step 4: Simplify right side
    6,317.49x = 33,544,602.65
  5. Step 5: Solve for x
    x = 33,544,602.65/6,317.49
  6. Step 6: Final answer
    x = 5,309.80

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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.