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Finding the Fourth Proportional to 9,266.64, 13,899.84 and 2,341.20

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Solution

The fourth proportional to 9,266.64, 13,899.84 and 2,341.20 is: 3,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.64 : 13,899.84 = 2,341.20 : x
  2. Step 2: Convert to fraction form
    9,266.64/13,899.84 = 2,341.20/x
  3. Step 3: Cross multiply
    9,266.64x = 13,899.84 × 2,341.20
  4. Step 4: Simplify right side
    9,266.64x = 32,542,305.41
  5. Step 5: Solve for x
    x = 32,542,305.41/9,266.64
  6. Step 6: Final answer
    x = 3,511.77

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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.