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Finding the Fourth Proportional to 9,875.40, 13,628.25 and 5,399.43

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Solution

The fourth proportional to 9,875.40, 13,628.25 and 5,399.43 is: 7,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.40 : 13,628.25 = 5,399.43 : x
  2. Step 2: Convert to fraction form
    9,875.40/13,628.25 = 5,399.43/x
  3. Step 3: Cross multiply
    9,875.40x = 13,628.25 × 5,399.43
  4. Step 4: Simplify right side
    9,875.40x = 73,584,781.90
  5. Step 5: Solve for x
    x = 73,584,781.90/9,875.40
  6. Step 6: Final answer
    x = 7,451.32

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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.