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Finding the Fourth Proportional to 9,871.65, 13,622.90 and 5,622.53

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Solution

The fourth proportional to 9,871.65, 13,622.90 and 5,622.53 is: 7,759.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.65 : 13,622.90 = 5,622.53 : x
  2. Step 2: Convert to fraction form
    9,871.65/13,622.90 = 5,622.53/x
  3. Step 3: Cross multiply
    9,871.65x = 13,622.90 × 5,622.53
  4. Step 4: Simplify right side
    9,871.65x = 76,595,067.71
  5. Step 5: Solve for x
    x = 76,595,067.71/9,871.65
  6. Step 6: Final answer
    x = 7,759.09

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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.