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Finding the Fourth Proportional to 6,138.12, 9,207.04 and 1,521.12

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Solution

The fourth proportional to 6,138.12, 9,207.04 and 1,521.12 is: 2,281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.12 : 9,207.04 = 1,521.12 : x
  2. Step 2: Convert to fraction form
    6,138.12/9,207.04 = 1,521.12/x
  3. Step 3: Cross multiply
    6,138.12x = 9,207.04 × 1,521.12
  4. Step 4: Simplify right side
    6,138.12x = 14,005,012.68
  5. Step 5: Solve for x
    x = 14,005,012.68/6,138.12
  6. Step 6: Final answer
    x = 2,281.65

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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.