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Finding the Fourth Proportional to 8,946.64, 12,346.17 and 4,967.51

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Solution

The fourth proportional to 8,946.64, 12,346.17 and 4,967.51 is: 6,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.64 : 12,346.17 = 4,967.51 : x
  2. Step 2: Convert to fraction form
    8,946.64/12,346.17 = 4,967.51/x
  3. Step 3: Cross multiply
    8,946.64x = 12,346.17 × 4,967.51
  4. Step 4: Simplify right side
    8,946.64x = 61,329,722.94
  5. Step 5: Solve for x
    x = 61,329,722.94/8,946.64
  6. Step 6: Final answer
    x = 6,855.06

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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.