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Finding the Fourth Proportional to 9,857.68, 13,606.92 and 5,880.04

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Solution

The fourth proportional to 9,857.68, 13,606.92 and 5,880.04 is: 8,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.68 : 13,606.92 = 5,880.04 : x
  2. Step 2: Convert to fraction form
    9,857.68/13,606.92 = 5,880.04/x
  3. Step 3: Cross multiply
    9,857.68x = 13,606.92 × 5,880.04
  4. Step 4: Simplify right side
    9,857.68x = 80,009,233.88
  5. Step 5: Solve for x
    x = 80,009,233.88/9,857.68
  6. Step 6: Final answer
    x = 8,116.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.