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Finding the Fourth Proportional to 7,074.76, 9,762.74 and 3,930.84

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Solution

The fourth proportional to 7,074.76, 9,762.74 and 3,930.84 is: 5,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.76 : 9,762.74 = 3,930.84 : x
  2. Step 2: Convert to fraction form
    7,074.76/9,762.74 = 3,930.84/x
  3. Step 3: Cross multiply
    7,074.76x = 9,762.74 × 3,930.84
  4. Step 4: Simplify right side
    7,074.76x = 38,375,768.90
  5. Step 5: Solve for x
    x = 38,375,768.90/7,074.76
  6. Step 6: Final answer
    x = 5,424.32

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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.