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Finding the Fourth Proportional to 7,203.39, 9,944.59 and 4,977.23

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Solution

The fourth proportional to 7,203.39, 9,944.59 and 4,977.23 is: 6,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.39 : 9,944.59 = 4,977.23 : x
  2. Step 2: Convert to fraction form
    7,203.39/9,944.59 = 4,977.23/x
  3. Step 3: Cross multiply
    7,203.39x = 9,944.59 × 4,977.23
  4. Step 4: Simplify right side
    7,203.39x = 49,496,474.38
  5. Step 5: Solve for x
    x = 49,496,474.38/7,203.39
  6. Step 6: Final answer
    x = 6,871.28

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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.