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Finding the Fourth Proportional to 9,268, 13,899.52 and 2,692.64

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Solution

The fourth proportional to 9,268, 13,899.52 and 2,692.64 is: 4,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268 : 13,899.52 = 2,692.64 : x
  2. Step 2: Convert to fraction form
    9,268/13,899.52 = 2,692.64/x
  3. Step 3: Cross multiply
    9,268x = 13,899.52 × 2,692.64
  4. Step 4: Simplify right side
    9,268x = 37,426,403.53
  5. Step 5: Solve for x
    x = 37,426,403.53/9,268
  6. Step 6: Final answer
    x = 4,038.24

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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.