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Finding the Fourth Proportional to 9,969.48, 13,757.56 and 5,721.24

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Solution

The fourth proportional to 9,969.48, 13,757.56 and 5,721.24 is: 7,895.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.48 : 13,757.56 = 5,721.24 : x
  2. Step 2: Convert to fraction form
    9,969.48/13,757.56 = 5,721.24/x
  3. Step 3: Cross multiply
    9,969.48x = 13,757.56 × 5,721.24
  4. Step 4: Simplify right side
    9,969.48x = 78,710,302.57
  5. Step 5: Solve for x
    x = 78,710,302.57/9,969.48
  6. Step 6: Final answer
    x = 7,895.13

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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.