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Finding the Fourth Proportional to 5,965.64, 8,946.18 and 1,962.09

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Solution

The fourth proportional to 5,965.64, 8,946.18 and 1,962.09 is: 2,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.64 : 8,946.18 = 1,962.09 : x
  2. Step 2: Convert to fraction form
    5,965.64/8,946.18 = 1,962.09/x
  3. Step 3: Cross multiply
    5,965.64x = 8,946.18 × 1,962.09
  4. Step 4: Simplify right side
    5,965.64x = 17,553,210.32
  5. Step 5: Solve for x
    x = 17,553,210.32/5,965.64
  6. Step 6: Final answer
    x = 2,942.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.