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Finding the Fourth Proportional to 9,643.12, 14,463.04 and 2,716

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Solution

The fourth proportional to 9,643.12, 14,463.04 and 2,716 is: 4,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.12 : 14,463.04 = 2,716 : x
  2. Step 2: Convert to fraction form
    9,643.12/14,463.04 = 2,716/x
  3. Step 3: Cross multiply
    9,643.12x = 14,463.04 × 2,716
  4. Step 4: Simplify right side
    9,643.12x = 39,281,616.64
  5. Step 5: Solve for x
    x = 39,281,616.64/9,643.12
  6. Step 6: Final answer
    x = 4,073.54

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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.