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Finding the Fourth Proportional to 9,412.59, 14,122.34 and 3,864.44

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Solution

The fourth proportional to 9,412.59, 14,122.34 and 3,864.44 is: 5,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.59 : 14,122.34 = 3,864.44 : x
  2. Step 2: Convert to fraction form
    9,412.59/14,122.34 = 3,864.44/x
  3. Step 3: Cross multiply
    9,412.59x = 14,122.34 × 3,864.44
  4. Step 4: Simplify right side
    9,412.59x = 54,574,845.66
  5. Step 5: Solve for x
    x = 54,574,845.66/9,412.59
  6. Step 6: Final answer
    x = 5,798.07

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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.