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Finding the Fourth Proportional to 9,114.42, 13,647.97 and 7,806.59

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Solution

The fourth proportional to 9,114.42, 13,647.97 and 7,806.59 is: 11,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.42 : 13,647.97 = 7,806.59 : x
  2. Step 2: Convert to fraction form
    9,114.42/13,647.97 = 7,806.59/x
  3. Step 3: Cross multiply
    9,114.42x = 13,647.97 × 7,806.59
  4. Step 4: Simplify right side
    9,114.42x = 106,544,106.12
  5. Step 5: Solve for x
    x = 106,544,106.12/9,114.42
  6. Step 6: Final answer
    x = 11,689.62

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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.