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Finding the Fourth Proportional to 6,222.39, 9,312.06 and 5,098.82

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Solution

The fourth proportional to 6,222.39, 9,312.06 and 5,098.82 is: 7,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.39 : 9,312.06 = 5,098.82 : x
  2. Step 2: Convert to fraction form
    6,222.39/9,312.06 = 5,098.82/x
  3. Step 3: Cross multiply
    6,222.39x = 9,312.06 × 5,098.82
  4. Step 4: Simplify right side
    6,222.39x = 47,480,568.90
  5. Step 5: Solve for x
    x = 47,480,568.90/6,222.39
  6. Step 6: Final answer
    x = 7,630.59

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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.