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Finding the Fourth Proportional to 9,190.51, 12,669.31 and 7,171.64

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Solution

The fourth proportional to 9,190.51, 12,669.31 and 7,171.64 is: 9,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.51 : 12,669.31 = 7,171.64 : x
  2. Step 2: Convert to fraction form
    9,190.51/12,669.31 = 7,171.64/x
  3. Step 3: Cross multiply
    9,190.51x = 12,669.31 × 7,171.64
  4. Step 4: Simplify right side
    9,190.51x = 90,859,723.50
  5. Step 5: Solve for x
    x = 90,859,723.50/9,190.51
  6. Step 6: Final answer
    x = 9,886.25

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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.