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Finding the Fourth Proportional to 6,302.06, 9,440.13 and 5,991.02

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Solution

The fourth proportional to 6,302.06, 9,440.13 and 5,991.02 is: 8,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.06 : 9,440.13 = 5,991.02 : x
  2. Step 2: Convert to fraction form
    6,302.06/9,440.13 = 5,991.02/x
  3. Step 3: Cross multiply
    6,302.06x = 9,440.13 × 5,991.02
  4. Step 4: Simplify right side
    6,302.06x = 56,556,007.63
  5. Step 5: Solve for x
    x = 56,556,007.63/6,302.06
  6. Step 6: Final answer
    x = 8,974.21

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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.