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Finding the Fourth Proportional to 9,806.94, 14,716.62 and 8,884.35

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Solution

The fourth proportional to 9,806.94, 14,716.62 and 8,884.35 is: 13,332.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.94 : 14,716.62 = 8,884.35 : x
  2. Step 2: Convert to fraction form
    9,806.94/14,716.62 = 8,884.35/x
  3. Step 3: Cross multiply
    9,806.94x = 14,716.62 × 8,884.35
  4. Step 4: Simplify right side
    9,806.94x = 130,747,602.90
  5. Step 5: Solve for x
    x = 130,747,602.90/9,806.94
  6. Step 6: Final answer
    x = 13,332.15

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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.