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Finding the Fourth Proportional to 6,207.42, 9,312.09 and 2,920.86

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Solution

The fourth proportional to 6,207.42, 9,312.09 and 2,920.86 is: 4,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.42 : 9,312.09 = 2,920.86 : x
  2. Step 2: Convert to fraction form
    6,207.42/9,312.09 = 2,920.86/x
  3. Step 3: Cross multiply
    6,207.42x = 9,312.09 × 2,920.86
  4. Step 4: Simplify right side
    6,207.42x = 27,199,311.20
  5. Step 5: Solve for x
    x = 27,199,311.20/6,207.42
  6. Step 6: Final answer
    x = 4,381.74

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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.