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Finding the Fourth Proportional to 9,877.37, 13,631.13 and 5,400.86

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Solution

The fourth proportional to 9,877.37, 13,631.13 and 5,400.86 is: 7,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.37 : 13,631.13 = 5,400.86 : x
  2. Step 2: Convert to fraction form
    9,877.37/13,631.13 = 5,400.86/x
  3. Step 3: Cross multiply
    9,877.37x = 13,631.13 × 5,400.86
  4. Step 4: Simplify right side
    9,877.37x = 73,619,756.62
  5. Step 5: Solve for x
    x = 73,619,756.62/9,877.37
  6. Step 6: Final answer
    x = 7,453.38

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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.