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Finding the Fourth Proportional to 9,611.86, 14,419.73 and 4,065.22

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Solution

The fourth proportional to 9,611.86, 14,419.73 and 4,065.22 is: 6,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.86 : 14,419.73 = 4,065.22 : x
  2. Step 2: Convert to fraction form
    9,611.86/14,419.73 = 4,065.22/x
  3. Step 3: Cross multiply
    9,611.86x = 14,419.73 × 4,065.22
  4. Step 4: Simplify right side
    9,611.86x = 58,619,374.79
  5. Step 5: Solve for x
    x = 58,619,374.79/9,611.86
  6. Step 6: Final answer
    x = 6,098.65

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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.