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Finding the Fourth Proportional to 9,575.39, 14,363.09 and 5,677.67

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Solution

The fourth proportional to 9,575.39, 14,363.09 and 5,677.67 is: 8,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.39 : 14,363.09 = 5,677.67 : x
  2. Step 2: Convert to fraction form
    9,575.39/14,363.09 = 5,677.67/x
  3. Step 3: Cross multiply
    9,575.39x = 14,363.09 × 5,677.67
  4. Step 4: Simplify right side
    9,575.39x = 81,548,885.20
  5. Step 5: Solve for x
    x = 81,548,885.20/9,575.39
  6. Step 6: Final answer
    x = 8,516.51

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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.