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Finding the Fourth Proportional to 9,578.91, 13,214.84 and 5,850.75

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Solution

The fourth proportional to 9,578.91, 13,214.84 and 5,850.75 is: 8,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.91 : 13,214.84 = 5,850.75 : x
  2. Step 2: Convert to fraction form
    9,578.91/13,214.84 = 5,850.75/x
  3. Step 3: Cross multiply
    9,578.91x = 13,214.84 × 5,850.75
  4. Step 4: Simplify right side
    9,578.91x = 77,316,695.88
  5. Step 5: Solve for x
    x = 77,316,695.88/9,578.91
  6. Step 6: Final answer
    x = 8,071.55

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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.