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Finding the Fourth Proportional to 7,172.64, 9,898.47 and 3,986.10

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Solution

The fourth proportional to 7,172.64, 9,898.47 and 3,986.10 is: 5,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.64 : 9,898.47 = 3,986.10 : x
  2. Step 2: Convert to fraction form
    7,172.64/9,898.47 = 3,986.10/x
  3. Step 3: Cross multiply
    7,172.64x = 9,898.47 × 3,986.10
  4. Step 4: Simplify right side
    7,172.64x = 39,456,291.27
  5. Step 5: Solve for x
    x = 39,456,291.27/7,172.64
  6. Step 6: Final answer
    x = 5,500.94

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Why These Related Problems?

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