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Finding the Fourth Proportional to 9,653.30, 14,480.22 and 3,412.43

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Solution

The fourth proportional to 9,653.30, 14,480.22 and 3,412.43 is: 5,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.30 : 14,480.22 = 3,412.43 : x
  2. Step 2: Convert to fraction form
    9,653.30/14,480.22 = 3,412.43/x
  3. Step 3: Cross multiply
    9,653.30x = 14,480.22 × 3,412.43
  4. Step 4: Simplify right side
    9,653.30x = 49,412,737.13
  5. Step 5: Solve for x
    x = 49,412,737.13/9,653.30
  6. Step 6: Final answer
    x = 5,118.74

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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.