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Finding the Fourth Proportional to 7,100.80, 9,794.90 and 4,443.58

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Solution

The fourth proportional to 7,100.80, 9,794.90 and 4,443.58 is: 6,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.80 : 9,794.90 = 4,443.58 : x
  2. Step 2: Convert to fraction form
    7,100.80/9,794.90 = 4,443.58/x
  3. Step 3: Cross multiply
    7,100.80x = 9,794.90 × 4,443.58
  4. Step 4: Simplify right side
    7,100.80x = 43,524,421.74
  5. Step 5: Solve for x
    x = 43,524,421.74/7,100.80
  6. Step 6: Final answer
    x = 6,129.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.