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Finding the Fourth Proportional to 9,166.65, 12,656.30 and 6,777.15

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Solution

The fourth proportional to 9,166.65, 12,656.30 and 6,777.15 is: 9,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.65 : 12,656.30 = 6,777.15 : x
  2. Step 2: Convert to fraction form
    9,166.65/12,656.30 = 6,777.15/x
  3. Step 3: Cross multiply
    9,166.65x = 12,656.30 × 6,777.15
  4. Step 4: Simplify right side
    9,166.65x = 85,773,609.66
  5. Step 5: Solve for x
    x = 85,773,609.66/9,166.65
  6. Step 6: Final answer
    x = 9,357.14

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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.