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Finding the Fourth Proportional to 7,197.45, 9,933.42 and 4,054.24

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Solution

The fourth proportional to 7,197.45, 9,933.42 and 4,054.24 is: 5,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197.45 : 9,933.42 = 4,054.24 : x
  2. Step 2: Convert to fraction form
    7,197.45/9,933.42 = 4,054.24/x
  3. Step 3: Cross multiply
    7,197.45x = 9,933.42 × 4,054.24
  4. Step 4: Simplify right side
    7,197.45x = 40,272,468.70
  5. Step 5: Solve for x
    x = 40,272,468.70/7,197.45
  6. Step 6: Final answer
    x = 5,595.38

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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.