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Finding the Fourth Proportional to 6,402.74, 9,607.17 and 2,895.23

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Solution

The fourth proportional to 6,402.74, 9,607.17 and 2,895.23 is: 4,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.74 : 9,607.17 = 2,895.23 : x
  2. Step 2: Convert to fraction form
    6,402.74/9,607.17 = 2,895.23/x
  3. Step 3: Cross multiply
    6,402.74x = 9,607.17 × 2,895.23
  4. Step 4: Simplify right side
    6,402.74x = 27,814,918.76
  5. Step 5: Solve for x
    x = 27,814,918.76/6,402.74
  6. Step 6: Final answer
    x = 4,344.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.