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Finding the Fourth Proportional to 6,391.30, 9,588.30 and 1,948.60

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Solution

The fourth proportional to 6,391.30, 9,588.30 and 1,948.60 is: 2,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.30 : 9,588.30 = 1,948.60 : x
  2. Step 2: Convert to fraction form
    6,391.30/9,588.30 = 1,948.60/x
  3. Step 3: Cross multiply
    6,391.30x = 9,588.30 × 1,948.60
  4. Step 4: Simplify right side
    6,391.30x = 18,683,761.38
  5. Step 5: Solve for x
    x = 18,683,761.38/6,391.30
  6. Step 6: Final answer
    x = 2,923.31

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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.