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Finding the Fourth Proportional to 9,163.29, 12,646.25 and 5,578.50

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Solution

The fourth proportional to 9,163.29, 12,646.25 and 5,578.50 is: 7,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.29 : 12,646.25 = 5,578.50 : x
  2. Step 2: Convert to fraction form
    9,163.29/12,646.25 = 5,578.50/x
  3. Step 3: Cross multiply
    9,163.29x = 12,646.25 × 5,578.50
  4. Step 4: Simplify right side
    9,163.29x = 70,547,105.63
  5. Step 5: Solve for x
    x = 70,547,105.63/9,163.29
  6. Step 6: Final answer
    x = 7,698.88

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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.