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Finding the Fourth Proportional to 9,548.93, 13,169.17 and 6,188.58

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Solution

The fourth proportional to 9,548.93, 13,169.17 and 6,188.58 is: 8,534.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.93 : 13,169.17 = 6,188.58 : x
  2. Step 2: Convert to fraction form
    9,548.93/13,169.17 = 6,188.58/x
  3. Step 3: Cross multiply
    9,548.93x = 13,169.17 × 6,188.58
  4. Step 4: Simplify right side
    9,548.93x = 81,498,462.08
  5. Step 5: Solve for x
    x = 81,498,462.08/9,548.93
  6. Step 6: Final answer
    x = 8,534.83

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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.