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Finding the Fourth Proportional to 9,958, 13,742.32 and 5,482

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Solution

The fourth proportional to 9,958, 13,742.32 and 5,482 is: 7,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958 : 13,742.32 = 5,482 : x
  2. Step 2: Convert to fraction form
    9,958/13,742.32 = 5,482/x
  3. Step 3: Cross multiply
    9,958x = 13,742.32 × 5,482
  4. Step 4: Simplify right side
    9,958x = 75,335,398.24
  5. Step 5: Solve for x
    x = 75,335,398.24/9,958
  6. Step 6: Final answer
    x = 7,565.31

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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.