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Finding the Fourth Proportional to 9,578.34, 14,362.88 and 3,338.21

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Solution

The fourth proportional to 9,578.34, 14,362.88 and 3,338.21 is: 5,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.34 : 14,362.88 = 3,338.21 : x
  2. Step 2: Convert to fraction form
    9,578.34/14,362.88 = 3,338.21/x
  3. Step 3: Cross multiply
    9,578.34x = 14,362.88 × 3,338.21
  4. Step 4: Simplify right side
    9,578.34x = 47,946,237.83
  5. Step 5: Solve for x
    x = 47,946,237.83/9,578.34
  6. Step 6: Final answer
    x = 5,005.69

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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.