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Finding the Fourth Proportional to 9,614.42, 14,412.83 and 4,064.75

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Solution

The fourth proportional to 9,614.42, 14,412.83 and 4,064.75 is: 6,093.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.42 : 14,412.83 = 4,064.75 : x
  2. Step 2: Convert to fraction form
    9,614.42/14,412.83 = 4,064.75/x
  3. Step 3: Cross multiply
    9,614.42x = 14,412.83 × 4,064.75
  4. Step 4: Simplify right side
    9,614.42x = 58,584,458.35
  5. Step 5: Solve for x
    x = 58,584,458.35/9,614.42
  6. Step 6: Final answer
    x = 6,093.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.