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Finding the Fourth Proportional to 6,185.84, 9,278.34 and 2,899.66

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Solution

The fourth proportional to 6,185.84, 9,278.34 and 2,899.66 is: 4,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.84 : 9,278.34 = 2,899.66 : x
  2. Step 2: Convert to fraction form
    6,185.84/9,278.34 = 2,899.66/x
  3. Step 3: Cross multiply
    6,185.84x = 9,278.34 × 2,899.66
  4. Step 4: Simplify right side
    6,185.84x = 26,904,031.36
  5. Step 5: Solve for x
    x = 26,904,031.36/6,185.84
  6. Step 6: Final answer
    x = 4,349.29

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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.