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Finding the Fourth Proportional to 7,171.74, 9,895.94 and 4,027.32

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Solution

The fourth proportional to 7,171.74, 9,895.94 and 4,027.32 is: 5,557.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.74 : 9,895.94 = 4,027.32 : x
  2. Step 2: Convert to fraction form
    7,171.74/9,895.94 = 4,027.32/x
  3. Step 3: Cross multiply
    7,171.74x = 9,895.94 × 4,027.32
  4. Step 4: Simplify right side
    7,171.74x = 39,854,117.08
  5. Step 5: Solve for x
    x = 39,854,117.08/7,171.74
  6. Step 6: Final answer
    x = 5,557.11

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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.