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Finding the Fourth Proportional to 9,721.70, 13,415.56 and 5,744.10

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Solution

The fourth proportional to 9,721.70, 13,415.56 and 5,744.10 is: 7,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.70 : 13,415.56 = 5,744.10 : x
  2. Step 2: Convert to fraction form
    9,721.70/13,415.56 = 5,744.10/x
  3. Step 3: Cross multiply
    9,721.70x = 13,415.56 × 5,744.10
  4. Step 4: Simplify right side
    9,721.70x = 77,060,318.20
  5. Step 5: Solve for x
    x = 77,060,318.20/9,721.70
  6. Step 6: Final answer
    x = 7,926.63

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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.