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Finding the Fourth Proportional to 6,431.84, 9,646.30 and 1,815.20

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Solution

The fourth proportional to 6,431.84, 9,646.30 and 1,815.20 is: 2,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.84 : 9,646.30 = 1,815.20 : x
  2. Step 2: Convert to fraction form
    6,431.84/9,646.30 = 1,815.20/x
  3. Step 3: Cross multiply
    6,431.84x = 9,646.30 × 1,815.20
  4. Step 4: Simplify right side
    6,431.84x = 17,509,963.76
  5. Step 5: Solve for x
    x = 17,509,963.76/6,431.84
  6. Step 6: Final answer
    x = 2,722.39

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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.