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Finding the Fourth Proportional to 9,171.67, 12,656.96 and 5,395.00

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Solution

The fourth proportional to 9,171.67, 12,656.96 and 5,395.00 is: 7,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.67 : 12,656.96 = 5,395.00 : x
  2. Step 2: Convert to fraction form
    9,171.67/12,656.96 = 5,395.00/x
  3. Step 3: Cross multiply
    9,171.67x = 12,656.96 × 5,395.00
  4. Step 4: Simplify right side
    9,171.67x = 68,284,235.92
  5. Step 5: Solve for x
    x = 68,284,235.92/9,171.67
  6. Step 6: Final answer
    x = 7,445.13

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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.