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Finding the Fourth Proportional to 9,655.26, 13,317.38 and 8,861.15

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Solution

The fourth proportional to 9,655.26, 13,317.38 and 8,861.15 is: 12,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.26 : 13,317.38 = 8,861.15 : x
  2. Step 2: Convert to fraction form
    9,655.26/13,317.38 = 8,861.15/x
  3. Step 3: Cross multiply
    9,655.26x = 13,317.38 × 8,861.15
  4. Step 4: Simplify right side
    9,655.26x = 118,007,301.79
  5. Step 5: Solve for x
    x = 118,007,301.79/9,655.26
  6. Step 6: Final answer
    x = 12,222.07

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Why These Related Problems?

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