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Finding the Fourth Proportional to 9,226.64, 13,842.12 and 3,386

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Solution

The fourth proportional to 9,226.64, 13,842.12 and 3,386 is: 5,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.64 : 13,842.12 = 3,386 : x
  2. Step 2: Convert to fraction form
    9,226.64/13,842.12 = 3,386/x
  3. Step 3: Cross multiply
    9,226.64x = 13,842.12 × 3,386
  4. Step 4: Simplify right side
    9,226.64x = 46,869,418.32
  5. Step 5: Solve for x
    x = 46,869,418.32/9,226.64
  6. Step 6: Final answer
    x = 5,079.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.