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Finding the Fourth Proportional to 9,662.88, 14,495.28 and 2,643.32

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Solution

The fourth proportional to 9,662.88, 14,495.28 and 2,643.32 is: 3,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.88 : 14,495.28 = 2,643.32 : x
  2. Step 2: Convert to fraction form
    9,662.88/14,495.28 = 2,643.32/x
  3. Step 3: Cross multiply
    9,662.88x = 14,495.28 × 2,643.32
  4. Step 4: Simplify right side
    9,662.88x = 38,315,591.05
  5. Step 5: Solve for x
    x = 38,315,591.05/9,662.88
  6. Step 6: Final answer
    x = 3,965.24

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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.