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Finding the Fourth Proportional to 9,323.10, 12,864.96 and 5,343.30

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Solution

The fourth proportional to 9,323.10, 12,864.96 and 5,343.30 is: 7,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.10 : 12,864.96 = 5,343.30 : x
  2. Step 2: Convert to fraction form
    9,323.10/12,864.96 = 5,343.30/x
  3. Step 3: Cross multiply
    9,323.10x = 12,864.96 × 5,343.30
  4. Step 4: Simplify right side
    9,323.10x = 68,741,340.77
  5. Step 5: Solve for x
    x = 68,741,340.77/9,323.10
  6. Step 6: Final answer
    x = 7,373.23

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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.