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Finding the Fourth Proportional to 9,412.03, 14,115.61 and 4,471.84

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Solution

The fourth proportional to 9,412.03, 14,115.61 and 4,471.84 is: 6,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.03 : 14,115.61 = 4,471.84 : x
  2. Step 2: Convert to fraction form
    9,412.03/14,115.61 = 4,471.84/x
  3. Step 3: Cross multiply
    9,412.03x = 14,115.61 × 4,471.84
  4. Step 4: Simplify right side
    9,412.03x = 63,122,749.42
  5. Step 5: Solve for x
    x = 63,122,749.42/9,412.03
  6. Step 6: Final answer
    x = 6,706.60

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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.