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Finding the Fourth Proportional to 9,880.27, 13,635.20 and 5,689.87

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Solution

The fourth proportional to 9,880.27, 13,635.20 and 5,689.87 is: 7,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.27 : 13,635.20 = 5,689.87 : x
  2. Step 2: Convert to fraction form
    9,880.27/13,635.20 = 5,689.87/x
  3. Step 3: Cross multiply
    9,880.27x = 13,635.20 × 5,689.87
  4. Step 4: Simplify right side
    9,880.27x = 77,582,461.47
  5. Step 5: Solve for x
    x = 77,582,461.47/9,880.27
  6. Step 6: Final answer
    x = 7,852.27

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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.