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Finding the Fourth Proportional to 10,349.92, 15,449.81 and 9,578.98

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Solution

The fourth proportional to 10,349.92, 15,449.81 and 9,578.98 is: 14,298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.92 : 15,449.81 = 9,578.98 : x
  2. Step 2: Convert to fraction form
    10,349.92/15,449.81 = 9,578.98/x
  3. Step 3: Cross multiply
    10,349.92x = 15,449.81 × 9,578.98
  4. Step 4: Simplify right side
    10,349.92x = 147,993,420.99
  5. Step 5: Solve for x
    x = 147,993,420.99/10,349.92
  6. Step 6: Final answer
    x = 14,298.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.