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Finding the Fourth Proportional to 7,206.60, 9,944.92 and 4,019.99

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Solution

The fourth proportional to 7,206.60, 9,944.92 and 4,019.99 is: 5,547.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.60 : 9,944.92 = 4,019.99 : x
  2. Step 2: Convert to fraction form
    7,206.60/9,944.92 = 4,019.99/x
  3. Step 3: Cross multiply
    7,206.60x = 9,944.92 × 4,019.99
  4. Step 4: Simplify right side
    7,206.60x = 39,978,493.76
  5. Step 5: Solve for x
    x = 39,978,493.76/7,206.60
  6. Step 6: Final answer
    x = 5,547.48

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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.