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Finding the Fourth Proportional to 9,302.65, 12,836.29 and 5,323.01

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Solution

The fourth proportional to 9,302.65, 12,836.29 and 5,323.01 is: 7,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.65 : 12,836.29 = 5,323.01 : x
  2. Step 2: Convert to fraction form
    9,302.65/12,836.29 = 5,323.01/x
  3. Step 3: Cross multiply
    9,302.65x = 12,836.29 × 5,323.01
  4. Step 4: Simplify right side
    9,302.65x = 68,327,700.03
  5. Step 5: Solve for x
    x = 68,327,700.03/9,302.65
  6. Step 6: Final answer
    x = 7,344.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.