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Finding the Fourth Proportional to 6,208.47, 9,312.84 and 2,312.91

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Solution

The fourth proportional to 6,208.47, 9,312.84 and 2,312.91 is: 3,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.47 : 9,312.84 = 2,312.91 : x
  2. Step 2: Convert to fraction form
    6,208.47/9,312.84 = 2,312.91/x
  3. Step 3: Cross multiply
    6,208.47x = 9,312.84 × 2,312.91
  4. Step 4: Simplify right side
    6,208.47x = 21,539,760.76
  5. Step 5: Solve for x
    x = 21,539,760.76/6,208.47
  6. Step 6: Final answer
    x = 3,469.42

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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.