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Finding the Fourth Proportional to 9,728.86, 13,424.78 and 7,079.26

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Solution

The fourth proportional to 9,728.86, 13,424.78 and 7,079.26 is: 9,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.86 : 13,424.78 = 7,079.26 : x
  2. Step 2: Convert to fraction form
    9,728.86/13,424.78 = 7,079.26/x
  3. Step 3: Cross multiply
    9,728.86x = 13,424.78 × 7,079.26
  4. Step 4: Simplify right side
    9,728.86x = 95,037,508.06
  5. Step 5: Solve for x
    x = 95,037,508.06/9,728.86
  6. Step 6: Final answer
    x = 9,768.62

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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.