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Finding the Fourth Proportional to 9,948.22, 13,728.29 and 5,410.85

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Solution

The fourth proportional to 9,948.22, 13,728.29 and 5,410.85 is: 7,466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.22 : 13,728.29 = 5,410.85 : x
  2. Step 2: Convert to fraction form
    9,948.22/13,728.29 = 5,410.85/x
  3. Step 3: Cross multiply
    9,948.22x = 13,728.29 × 5,410.85
  4. Step 4: Simplify right side
    9,948.22x = 74,281,642.54
  5. Step 5: Solve for x
    x = 74,281,642.54/9,948.22
  6. Step 6: Final answer
    x = 7,466.83

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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.