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Finding the Fourth Proportional to 9,805.92, 14,708.93 and 2,410.38

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Solution

The fourth proportional to 9,805.92, 14,708.93 and 2,410.38 is: 3,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.92 : 14,708.93 = 2,410.38 : x
  2. Step 2: Convert to fraction form
    9,805.92/14,708.93 = 2,410.38/x
  3. Step 3: Cross multiply
    9,805.92x = 14,708.93 × 2,410.38
  4. Step 4: Simplify right side
    9,805.92x = 35,454,110.69
  5. Step 5: Solve for x
    x = 35,454,110.69/9,805.92
  6. Step 6: Final answer
    x = 3,615.58

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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.