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Finding the Fourth Proportional to 9,186.75, 12,677.72 and 5,460.75

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Solution

The fourth proportional to 9,186.75, 12,677.72 and 5,460.75 is: 7,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.75 : 12,677.72 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    9,186.75/12,677.72 = 5,460.75/x
  3. Step 3: Cross multiply
    9,186.75x = 12,677.72 × 5,460.75
  4. Step 4: Simplify right side
    9,186.75x = 69,229,832.19
  5. Step 5: Solve for x
    x = 69,229,832.19/9,186.75
  6. Step 6: Final answer
    x = 7,535.84

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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.