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Finding the Fourth Proportional to 9,906.02, 14,858.88 and 2,409.65

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Solution

The fourth proportional to 9,906.02, 14,858.88 and 2,409.65 is: 3,614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.02 : 14,858.88 = 2,409.65 : x
  2. Step 2: Convert to fraction form
    9,906.02/14,858.88 = 2,409.65/x
  3. Step 3: Cross multiply
    9,906.02x = 14,858.88 × 2,409.65
  4. Step 4: Simplify right side
    9,906.02x = 35,804,700.19
  5. Step 5: Solve for x
    x = 35,804,700.19/9,906.02
  6. Step 6: Final answer
    x = 3,614.44

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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.