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Finding the Fourth Proportional to 7,074.12, 9,762.26 and 3,930.24

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Solution

The fourth proportional to 7,074.12, 9,762.26 and 3,930.24 is: 5,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.12 : 9,762.26 = 3,930.24 : x
  2. Step 2: Convert to fraction form
    7,074.12/9,762.26 = 3,930.24/x
  3. Step 3: Cross multiply
    7,074.12x = 9,762.26 × 3,930.24
  4. Step 4: Simplify right side
    7,074.12x = 38,368,024.74
  5. Step 5: Solve for x
    x = 38,368,024.74/7,074.12
  6. Step 6: Final answer
    x = 5,423.72

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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.