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Finding the Fourth Proportional to 9,871.39, 13,622.54 and 5,395.20

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Solution

The fourth proportional to 9,871.39, 13,622.54 and 5,395.20 is: 7,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.39 : 13,622.54 = 5,395.20 : x
  2. Step 2: Convert to fraction form
    9,871.39/13,622.54 = 5,395.20/x
  3. Step 3: Cross multiply
    9,871.39x = 13,622.54 × 5,395.20
  4. Step 4: Simplify right side
    9,871.39x = 73,496,327.81
  5. Step 5: Solve for x
    x = 73,496,327.81/9,871.39
  6. Step 6: Final answer
    x = 7,445.39

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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.