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Finding the Fourth Proportional to 9,290.85, 12,811.59 and 7,166.72

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Solution

The fourth proportional to 9,290.85, 12,811.59 and 7,166.72 is: 9,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.85 : 12,811.59 = 7,166.72 : x
  2. Step 2: Convert to fraction form
    9,290.85/12,811.59 = 7,166.72/x
  3. Step 3: Cross multiply
    9,290.85x = 12,811.59 × 7,166.72
  4. Step 4: Simplify right side
    9,290.85x = 91,817,078.28
  5. Step 5: Solve for x
    x = 91,817,078.28/9,290.85
  6. Step 6: Final answer
    x = 9,882.53

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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.