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Finding the Fourth Proportional to 9,655.36, 14,476.16 and 3,414.08

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Solution

The fourth proportional to 9,655.36, 14,476.16 and 3,414.08 is: 5,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.36 : 14,476.16 = 3,414.08 : x
  2. Step 2: Convert to fraction form
    9,655.36/14,476.16 = 3,414.08/x
  3. Step 3: Cross multiply
    9,655.36x = 14,476.16 × 3,414.08
  4. Step 4: Simplify right side
    9,655.36x = 49,422,768.33
  5. Step 5: Solve for x
    x = 49,422,768.33/9,655.36
  6. Step 6: Final answer
    x = 5,118.69

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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.