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Finding the Fourth Proportional to 9,171.90, 12,656.81 and 5,193.25

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Solution

The fourth proportional to 9,171.90, 12,656.81 and 5,193.25 is: 7,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.90 : 12,656.81 = 5,193.25 : x
  2. Step 2: Convert to fraction form
    9,171.90/12,656.81 = 5,193.25/x
  3. Step 3: Cross multiply
    9,171.90x = 12,656.81 × 5,193.25
  4. Step 4: Simplify right side
    9,171.90x = 65,729,959.87
  5. Step 5: Solve for x
    x = 65,729,959.87/9,171.90
  6. Step 6: Final answer
    x = 7,166.45

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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.