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Finding the Fourth Proportional to 9,948.16, 13,728 and 5,757.44

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Solution

The fourth proportional to 9,948.16, 13,728 and 5,757.44 is: 7,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.16 : 13,728 = 5,757.44 : x
  2. Step 2: Convert to fraction form
    9,948.16/13,728 = 5,757.44/x
  3. Step 3: Cross multiply
    9,948.16x = 13,728 × 5,757.44
  4. Step 4: Simplify right side
    9,948.16x = 79,038,136.32
  5. Step 5: Solve for x
    x = 79,038,136.32/9,948.16
  6. Step 6: Final answer
    x = 7,945.00

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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.