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Finding the Fourth Proportional to 6,184.97, 9,279.74 and 2,899.13

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Solution

The fourth proportional to 6,184.97, 9,279.74 and 2,899.13 is: 4,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.97 : 9,279.74 = 2,899.13 : x
  2. Step 2: Convert to fraction form
    6,184.97/9,279.74 = 2,899.13/x
  3. Step 3: Cross multiply
    6,184.97x = 9,279.74 × 2,899.13
  4. Step 4: Simplify right side
    6,184.97x = 26,903,172.63
  5. Step 5: Solve for x
    x = 26,903,172.63/6,184.97
  6. Step 6: Final answer
    x = 4,349.77

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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.