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Finding the Fourth Proportional to 8,946.50, 12,346.16 and 4,967.37

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Solution

The fourth proportional to 8,946.50, 12,346.16 and 4,967.37 is: 6,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.50 : 12,346.16 = 4,967.37 : x
  2. Step 2: Convert to fraction form
    8,946.50/12,346.16 = 4,967.37/x
  3. Step 3: Cross multiply
    8,946.50x = 12,346.16 × 4,967.37
  4. Step 4: Simplify right side
    8,946.50x = 61,327,919.96
  5. Step 5: Solve for x
    x = 61,327,919.96/8,946.50
  6. Step 6: Final answer
    x = 6,854.97

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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.