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Finding the Fourth Proportional to 9,184.57, 12,667.54 and 6,158.68

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Solution

The fourth proportional to 9,184.57, 12,667.54 and 6,158.68 is: 8,494.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.57 : 12,667.54 = 6,158.68 : x
  2. Step 2: Convert to fraction form
    9,184.57/12,667.54 = 6,158.68/x
  3. Step 3: Cross multiply
    9,184.57x = 12,667.54 × 6,158.68
  4. Step 4: Simplify right side
    9,184.57x = 78,015,325.25
  5. Step 5: Solve for x
    x = 78,015,325.25/9,184.57
  6. Step 6: Final answer
    x = 8,494.17

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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.