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Finding the Fourth Proportional to 9,195.02, 12,689.38 and 5,003.26

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Solution

The fourth proportional to 9,195.02, 12,689.38 and 5,003.26 is: 6,904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.02 : 12,689.38 = 5,003.26 : x
  2. Step 2: Convert to fraction form
    9,195.02/12,689.38 = 5,003.26/x
  3. Step 3: Cross multiply
    9,195.02x = 12,689.38 × 5,003.26
  4. Step 4: Simplify right side
    9,195.02x = 63,488,267.38
  5. Step 5: Solve for x
    x = 63,488,267.38/9,195.02
  6. Step 6: Final answer
    x = 6,904.64

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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.