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Finding the Fourth Proportional to 6,992.98, 9,649.74 and 4,339.42

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Solution

The fourth proportional to 6,992.98, 9,649.74 and 4,339.42 is: 5,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.98 : 9,649.74 = 4,339.42 : x
  2. Step 2: Convert to fraction form
    6,992.98/9,649.74 = 4,339.42/x
  3. Step 3: Cross multiply
    6,992.98x = 9,649.74 × 4,339.42
  4. Step 4: Simplify right side
    6,992.98x = 41,874,274.75
  5. Step 5: Solve for x
    x = 41,874,274.75/6,992.98
  6. Step 6: Final answer
    x = 5,988.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.