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Finding the Fourth Proportional to 8,946.32, 12,346.03 and 4,967.80

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Solution

The fourth proportional to 8,946.32, 12,346.03 and 4,967.80 is: 6,855.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.32 : 12,346.03 = 4,967.80 : x
  2. Step 2: Convert to fraction form
    8,946.32/12,346.03 = 4,967.80/x
  3. Step 3: Cross multiply
    8,946.32x = 12,346.03 × 4,967.80
  4. Step 4: Simplify right side
    8,946.32x = 61,332,607.83
  5. Step 5: Solve for x
    x = 61,332,607.83/8,946.32
  6. Step 6: Final answer
    x = 6,855.62

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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.