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Finding the Fourth Proportional to 6,234.98, 9,354.09 and 2,948

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Solution

The fourth proportional to 6,234.98, 9,354.09 and 2,948 is: 4,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.98 : 9,354.09 = 2,948 : x
  2. Step 2: Convert to fraction form
    6,234.98/9,354.09 = 2,948/x
  3. Step 3: Cross multiply
    6,234.98x = 9,354.09 × 2,948
  4. Step 4: Simplify right side
    6,234.98x = 27,575,857.32
  5. Step 5: Solve for x
    x = 27,575,857.32/6,234.98
  6. Step 6: Final answer
    x = 4,422.77

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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.