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Finding the Fourth Proportional to 9,515.26, 14,202.95 and 8,846.74

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Solution

The fourth proportional to 9,515.26, 14,202.95 and 8,846.74 is: 13,205.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.26 : 14,202.95 = 8,846.74 : x
  2. Step 2: Convert to fraction form
    9,515.26/14,202.95 = 8,846.74/x
  3. Step 3: Cross multiply
    9,515.26x = 14,202.95 × 8,846.74
  4. Step 4: Simplify right side
    9,515.26x = 125,649,805.88
  5. Step 5: Solve for x
    x = 125,649,805.88/9,515.26
  6. Step 6: Final answer
    x = 13,205.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.