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Finding the Fourth Proportional to 6,644.36, 9,968.76 and 2,946.08

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Solution

The fourth proportional to 6,644.36, 9,968.76 and 2,946.08 is: 4,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.36 : 9,968.76 = 2,946.08 : x
  2. Step 2: Convert to fraction form
    6,644.36/9,968.76 = 2,946.08/x
  3. Step 3: Cross multiply
    6,644.36x = 9,968.76 × 2,946.08
  4. Step 4: Simplify right side
    6,644.36x = 29,368,764.46
  5. Step 5: Solve for x
    x = 29,368,764.46/6,644.36
  6. Step 6: Final answer
    x = 4,420.10

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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.