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Finding the Fourth Proportional to 9,186.56, 12,681.31 and 6,206.41

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Solution

The fourth proportional to 9,186.56, 12,681.31 and 6,206.41 is: 8,567.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.56 : 12,681.31 = 6,206.41 : x
  2. Step 2: Convert to fraction form
    9,186.56/12,681.31 = 6,206.41/x
  3. Step 3: Cross multiply
    9,186.56x = 12,681.31 × 6,206.41
  4. Step 4: Simplify right side
    9,186.56x = 78,705,345.79
  5. Step 5: Solve for x
    x = 78,705,345.79/9,186.56
  6. Step 6: Final answer
    x = 8,567.45

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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.