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Finding the Fourth Proportional to 6,646.32, 9,972 and 2,029.68

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Solution

The fourth proportional to 6,646.32, 9,972 and 2,029.68 is: 3,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.32 : 9,972 = 2,029.68 : x
  2. Step 2: Convert to fraction form
    6,646.32/9,972 = 2,029.68/x
  3. Step 3: Cross multiply
    6,646.32x = 9,972 × 2,029.68
  4. Step 4: Simplify right side
    6,646.32x = 20,239,968.96
  5. Step 5: Solve for x
    x = 20,239,968.96/6,646.32
  6. Step 6: Final answer
    x = 3,045.29

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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.