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Finding the Fourth Proportional to 7,135.32, 9,846.40 and 3,948.56

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Solution

The fourth proportional to 7,135.32, 9,846.40 and 3,948.56 is: 5,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.32 : 9,846.40 = 3,948.56 : x
  2. Step 2: Convert to fraction form
    7,135.32/9,846.40 = 3,948.56/x
  3. Step 3: Cross multiply
    7,135.32x = 9,846.40 × 3,948.56
  4. Step 4: Simplify right side
    7,135.32x = 38,879,115.93
  5. Step 5: Solve for x
    x = 38,879,115.93/7,135.32
  6. Step 6: Final answer
    x = 5,448.82

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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.