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Finding the Fourth Proportional to 9,278.34, 13,898.96 and 5,578.54

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Solution

The fourth proportional to 9,278.34, 13,898.96 and 5,578.54 is: 8,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.34 : 13,898.96 = 5,578.54 : x
  2. Step 2: Convert to fraction form
    9,278.34/13,898.96 = 5,578.54/x
  3. Step 3: Cross multiply
    9,278.34x = 13,898.96 × 5,578.54
  4. Step 4: Simplify right side
    9,278.34x = 77,535,862.60
  5. Step 5: Solve for x
    x = 77,535,862.60/9,278.34
  6. Step 6: Final answer
    x = 8,356.66

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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.