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Finding the Fourth Proportional to 6,288.84, 9,434.17 and 2,999.23

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Solution

The fourth proportional to 6,288.84, 9,434.17 and 2,999.23 is: 4,499.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.84 : 9,434.17 = 2,999.23 : x
  2. Step 2: Convert to fraction form
    6,288.84/9,434.17 = 2,999.23/x
  3. Step 3: Cross multiply
    6,288.84x = 9,434.17 × 2,999.23
  4. Step 4: Simplify right side
    6,288.84x = 28,295,225.85
  5. Step 5: Solve for x
    x = 28,295,225.85/6,288.84
  6. Step 6: Final answer
    x = 4,499.28

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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.