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Finding the Fourth Proportional to 9,653.09, 14,480.82 and 3,411.81

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Solution

The fourth proportional to 9,653.09, 14,480.82 and 3,411.81 is: 5,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.09 : 14,480.82 = 3,411.81 : x
  2. Step 2: Convert to fraction form
    9,653.09/14,480.82 = 3,411.81/x
  3. Step 3: Cross multiply
    9,653.09x = 14,480.82 × 3,411.81
  4. Step 4: Simplify right side
    9,653.09x = 49,405,806.48
  5. Step 5: Solve for x
    x = 49,405,806.48/9,653.09
  6. Step 6: Final answer
    x = 5,118.14

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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.