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Finding the Fourth Proportional to 9,761.50, 14,642.12 and 2,366.03

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Solution

The fourth proportional to 9,761.50, 14,642.12 and 2,366.03 is: 3,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.50 : 14,642.12 = 2,366.03 : x
  2. Step 2: Convert to fraction form
    9,761.50/14,642.12 = 2,366.03/x
  3. Step 3: Cross multiply
    9,761.50x = 14,642.12 × 2,366.03
  4. Step 4: Simplify right side
    9,761.50x = 34,643,655.34
  5. Step 5: Solve for x
    x = 34,643,655.34/9,761.50
  6. Step 6: Final answer
    x = 3,549.01

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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.