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Finding the Fourth Proportional to 9,871.56, 13,622.66 and 5,564.26

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Solution

The fourth proportional to 9,871.56, 13,622.66 and 5,564.26 is: 7,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.56 : 13,622.66 = 5,564.26 : x
  2. Step 2: Convert to fraction form
    9,871.56/13,622.66 = 5,564.26/x
  3. Step 3: Cross multiply
    9,871.56x = 13,622.66 × 5,564.26
  4. Step 4: Simplify right side
    9,871.56x = 75,800,022.13
  5. Step 5: Solve for x
    x = 75,800,022.13/9,871.56
  6. Step 6: Final answer
    x = 7,678.63

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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.