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Finding the Fourth Proportional to 9,114.43, 13,647.98 and 7,806.60

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Solution

The fourth proportional to 9,114.43, 13,647.98 and 7,806.60 is: 11,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.43 : 13,647.98 = 7,806.60 : x
  2. Step 2: Convert to fraction form
    9,114.43/13,647.98 = 7,806.60/x
  3. Step 3: Cross multiply
    9,114.43x = 13,647.98 × 7,806.60
  4. Step 4: Simplify right side
    9,114.43x = 106,544,340.18
  5. Step 5: Solve for x
    x = 106,544,340.18/9,114.43
  6. Step 6: Final answer
    x = 11,689.64

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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.