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Finding the Fourth Proportional to 9,578.66, 13,214.49 and 5,850.50

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Solution

The fourth proportional to 9,578.66, 13,214.49 and 5,850.50 is: 8,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.66 : 13,214.49 = 5,850.50 : x
  2. Step 2: Convert to fraction form
    9,578.66/13,214.49 = 5,850.50/x
  3. Step 3: Cross multiply
    9,578.66x = 13,214.49 × 5,850.50
  4. Step 4: Simplify right side
    9,578.66x = 77,311,373.75
  5. Step 5: Solve for x
    x = 77,311,373.75/9,578.66
  6. Step 6: Final answer
    x = 8,071.21

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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.