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Finding the Fourth Proportional to 9,919.16, 13,688.74 and 5,443.20

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Solution

The fourth proportional to 9,919.16, 13,688.74 and 5,443.20 is: 7,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.16 : 13,688.74 = 5,443.20 : x
  2. Step 2: Convert to fraction form
    9,919.16/13,688.74 = 5,443.20/x
  3. Step 3: Cross multiply
    9,919.16x = 13,688.74 × 5,443.20
  4. Step 4: Simplify right side
    9,919.16x = 74,510,474.42
  5. Step 5: Solve for x
    x = 74,510,474.42/9,919.16
  6. Step 6: Final answer
    x = 7,511.78

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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.