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Finding the Fourth Proportional to 9,540.02, 13,165.04 and 5,291.38

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Solution

The fourth proportional to 9,540.02, 13,165.04 and 5,291.38 is: 7,302.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.02 : 13,165.04 = 5,291.38 : x
  2. Step 2: Convert to fraction form
    9,540.02/13,165.04 = 5,291.38/x
  3. Step 3: Cross multiply
    9,540.02x = 13,165.04 × 5,291.38
  4. Step 4: Simplify right side
    9,540.02x = 69,661,229.36
  5. Step 5: Solve for x
    x = 69,661,229.36/9,540.02
  6. Step 6: Final answer
    x = 7,302.00

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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.