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Finding the Fourth Proportional to 9,463.12, 14,193.06 and 2,536

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Solution

The fourth proportional to 9,463.12, 14,193.06 and 2,536 is: 3,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.12 : 14,193.06 = 2,536 : x
  2. Step 2: Convert to fraction form
    9,463.12/14,193.06 = 2,536/x
  3. Step 3: Cross multiply
    9,463.12x = 14,193.06 × 2,536
  4. Step 4: Simplify right side
    9,463.12x = 35,993,600.16
  5. Step 5: Solve for x
    x = 35,993,600.16/9,463.12
  6. Step 6: Final answer
    x = 3,803.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.