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Finding the Fourth Proportional to 9,578.78, 13,218.47 and 5,545.05

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Solution

The fourth proportional to 9,578.78, 13,218.47 and 5,545.05 is: 7,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.78 : 13,218.47 = 5,545.05 : x
  2. Step 2: Convert to fraction form
    9,578.78/13,218.47 = 5,545.05/x
  3. Step 3: Cross multiply
    9,578.78x = 13,218.47 × 5,545.05
  4. Step 4: Simplify right side
    9,578.78x = 73,297,077.07
  5. Step 5: Solve for x
    x = 73,297,077.07/9,578.78
  6. Step 6: Final answer
    x = 7,652.03

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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.