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Finding the Fourth Proportional to 7,074.24, 9,762.54 and 3,930.42

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Solution

The fourth proportional to 7,074.24, 9,762.54 and 3,930.42 is: 5,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.24 : 9,762.54 = 3,930.42 : x
  2. Step 2: Convert to fraction form
    7,074.24/9,762.54 = 3,930.42/x
  3. Step 3: Cross multiply
    7,074.24x = 9,762.54 × 3,930.42
  4. Step 4: Simplify right side
    7,074.24x = 38,370,882.47
  5. Step 5: Solve for x
    x = 38,370,882.47/7,074.24
  6. Step 6: Final answer
    x = 5,424.03

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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.