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Finding the Fourth Proportional to 6,429.96, 9,644.84 and 2,047.38

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Solution

The fourth proportional to 6,429.96, 9,644.84 and 2,047.38 is: 3,071.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.96 : 9,644.84 = 2,047.38 : x
  2. Step 2: Convert to fraction form
    6,429.96/9,644.84 = 2,047.38/x
  3. Step 3: Cross multiply
    6,429.96x = 9,644.84 × 2,047.38
  4. Step 4: Simplify right side
    6,429.96x = 19,746,652.52
  5. Step 5: Solve for x
    x = 19,746,652.52/6,429.96
  6. Step 6: Final answer
    x = 3,071.04

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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.