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Finding the Fourth Proportional to 9,368.52, 14,053.56 and 2,443

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Solution

The fourth proportional to 9,368.52, 14,053.56 and 2,443 is: 3,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.52 : 14,053.56 = 2,443 : x
  2. Step 2: Convert to fraction form
    9,368.52/14,053.56 = 2,443/x
  3. Step 3: Cross multiply
    9,368.52x = 14,053.56 × 2,443
  4. Step 4: Simplify right side
    9,368.52x = 34,332,847.08
  5. Step 5: Solve for x
    x = 34,332,847.08/9,368.52
  6. Step 6: Final answer
    x = 3,664.70

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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.