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Finding the Fourth Proportional to 9,441.68, 14,166.36 and 6,068.25

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Solution

The fourth proportional to 9,441.68, 14,166.36 and 6,068.25 is: 9,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.68 : 14,166.36 = 6,068.25 : x
  2. Step 2: Convert to fraction form
    9,441.68/14,166.36 = 6,068.25/x
  3. Step 3: Cross multiply
    9,441.68x = 14,166.36 × 6,068.25
  4. Step 4: Simplify right side
    9,441.68x = 85,965,014.07
  5. Step 5: Solve for x
    x = 85,965,014.07/9,441.68
  6. Step 6: Final answer
    x = 9,104.84

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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.