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Finding the Fourth Proportional to 9,605.82, 14,412.46 and 3,366.53

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Solution

The fourth proportional to 9,605.82, 14,412.46 and 3,366.53 is: 5,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.82 : 14,412.46 = 3,366.53 : x
  2. Step 2: Convert to fraction form
    9,605.82/14,412.46 = 3,366.53/x
  3. Step 3: Cross multiply
    9,605.82x = 14,412.46 × 3,366.53
  4. Step 4: Simplify right side
    9,605.82x = 48,519,978.96
  5. Step 5: Solve for x
    x = 48,519,978.96/9,605.82
  6. Step 6: Final answer
    x = 5,051.10

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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.