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Finding the Fourth Proportional to 9,948.06, 13,728.03 and 5,471.81

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Solution

The fourth proportional to 9,948.06, 13,728.03 and 5,471.81 is: 7,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.06 : 13,728.03 = 5,471.81 : x
  2. Step 2: Convert to fraction form
    9,948.06/13,728.03 = 5,471.81/x
  3. Step 3: Cross multiply
    9,948.06x = 13,728.03 × 5,471.81
  4. Step 4: Simplify right side
    9,948.06x = 75,117,188.93
  5. Step 5: Solve for x
    x = 75,117,188.93/9,948.06
  6. Step 6: Final answer
    x = 7,550.94

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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.