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Finding the Fourth Proportional to 6,743.40, 9,295.74 and 5,248.68

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Solution

The fourth proportional to 6,743.40, 9,295.74 and 5,248.68 is: 7,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.40 : 9,295.74 = 5,248.68 : x
  2. Step 2: Convert to fraction form
    6,743.40/9,295.74 = 5,248.68/x
  3. Step 3: Cross multiply
    6,743.40x = 9,295.74 × 5,248.68
  4. Step 4: Simplify right side
    6,743.40x = 48,790,364.62
  5. Step 5: Solve for x
    x = 48,790,364.62/6,743.40
  6. Step 6: Final answer
    x = 7,235.28

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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.