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Finding the Fourth Proportional to 9,395.04, 14,092.56 and 2,469

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Solution

The fourth proportional to 9,395.04, 14,092.56 and 2,469 is: 3,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.04 : 14,092.56 = 2,469 : x
  2. Step 2: Convert to fraction form
    9,395.04/14,092.56 = 2,469/x
  3. Step 3: Cross multiply
    9,395.04x = 14,092.56 × 2,469
  4. Step 4: Simplify right side
    9,395.04x = 34,794,530.64
  5. Step 5: Solve for x
    x = 34,794,530.64/9,395.04
  6. Step 6: Final answer
    x = 3,703.50

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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.