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Finding the Fourth Proportional to 9,349.32, 14,019.84 and 4,965.84

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Solution

The fourth proportional to 9,349.32, 14,019.84 and 4,965.84 is: 7,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.32 : 14,019.84 = 4,965.84 : x
  2. Step 2: Convert to fraction form
    9,349.32/14,019.84 = 4,965.84/x
  3. Step 3: Cross multiply
    9,349.32x = 14,019.84 × 4,965.84
  4. Step 4: Simplify right side
    9,349.32x = 69,620,282.27
  5. Step 5: Solve for x
    x = 69,620,282.27/9,349.32
  6. Step 6: Final answer
    x = 7,446.56

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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.