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Finding the Fourth Proportional to 6,767.16, 9,342.18 and 4,667.64

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Solution

The fourth proportional to 6,767.16, 9,342.18 and 4,667.64 is: 6,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.16 : 9,342.18 = 4,667.64 : x
  2. Step 2: Convert to fraction form
    6,767.16/9,342.18 = 4,667.64/x
  3. Step 3: Cross multiply
    6,767.16x = 9,342.18 × 4,667.64
  4. Step 4: Simplify right side
    6,767.16x = 43,605,933.06
  5. Step 5: Solve for x
    x = 43,605,933.06/6,767.16
  6. Step 6: Final answer
    x = 6,443.76

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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.