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Finding the Fourth Proportional to 8,946.58, 12,346.69 and 4,967.75

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Solution

The fourth proportional to 8,946.58, 12,346.69 and 4,967.75 is: 6,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.58 : 12,346.69 = 4,967.75 : x
  2. Step 2: Convert to fraction form
    8,946.58/12,346.69 = 4,967.75/x
  3. Step 3: Cross multiply
    8,946.58x = 12,346.69 × 4,967.75
  4. Step 4: Simplify right side
    8,946.58x = 61,335,269.25
  5. Step 5: Solve for x
    x = 61,335,269.25/8,946.58
  6. Step 6: Final answer
    x = 6,855.72

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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.