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Finding the Fourth Proportional to 8,946.78, 12,346.02 and 4,967.66

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Solution

The fourth proportional to 8,946.78, 12,346.02 and 4,967.66 is: 6,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.78 : 12,346.02 = 4,967.66 : x
  2. Step 2: Convert to fraction form
    8,946.78/12,346.02 = 4,967.66/x
  3. Step 3: Cross multiply
    8,946.78x = 12,346.02 × 4,967.66
  4. Step 4: Simplify right side
    8,946.78x = 61,330,767.98
  5. Step 5: Solve for x
    x = 61,330,767.98/8,946.78
  6. Step 6: Final answer
    x = 6,855.07

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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.