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Finding the Fourth Proportional to 9,310.68, 12,859.71 and 6,161.40

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Solution

The fourth proportional to 9,310.68, 12,859.71 and 6,161.40 is: 8,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.68 : 12,859.71 = 6,161.40 : x
  2. Step 2: Convert to fraction form
    9,310.68/12,859.71 = 6,161.40/x
  3. Step 3: Cross multiply
    9,310.68x = 12,859.71 × 6,161.40
  4. Step 4: Simplify right side
    9,310.68x = 79,233,817.19
  5. Step 5: Solve for x
    x = 79,233,817.19/9,310.68
  6. Step 6: Final answer
    x = 8,509.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.