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Finding the Fourth Proportional to 9,325.98, 12,812.29 and 8,344.26

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Solution

The fourth proportional to 9,325.98, 12,812.29 and 8,344.26 is: 11,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.98 : 12,812.29 = 8,344.26 : x
  2. Step 2: Convert to fraction form
    9,325.98/12,812.29 = 8,344.26/x
  3. Step 3: Cross multiply
    9,325.98x = 12,812.29 × 8,344.26
  4. Step 4: Simplify right side
    9,325.98x = 106,909,037.23
  5. Step 5: Solve for x
    x = 106,909,037.23/9,325.98
  6. Step 6: Final answer
    x = 11,463.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.