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Finding the Fourth Proportional to 9,920.34, 14,882.55 and 8,066.88

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Solution

The fourth proportional to 9,920.34, 14,882.55 and 8,066.88 is: 12,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.34 : 14,882.55 = 8,066.88 : x
  2. Step 2: Convert to fraction form
    9,920.34/14,882.55 = 8,066.88/x
  3. Step 3: Cross multiply
    9,920.34x = 14,882.55 × 8,066.88
  4. Step 4: Simplify right side
    9,920.34x = 120,055,744.94
  5. Step 5: Solve for x
    x = 120,055,744.94/9,920.34
  6. Step 6: Final answer
    x = 12,101.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.