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Finding the Fourth Proportional to 9,269.08, 13,894.98 and 3,424.12

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Solution

The fourth proportional to 9,269.08, 13,894.98 and 3,424.12 is: 5,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.08 : 13,894.98 = 3,424.12 : x
  2. Step 2: Convert to fraction form
    9,269.08/13,894.98 = 3,424.12/x
  3. Step 3: Cross multiply
    9,269.08x = 13,894.98 × 3,424.12
  4. Step 4: Simplify right side
    9,269.08x = 47,578,078.92
  5. Step 5: Solve for x
    x = 47,578,078.92/9,269.08
  6. Step 6: Final answer
    x = 5,132.99

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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.