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Finding the Fourth Proportional to 6,431.58, 9,646.20 and 2,274.66

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Solution

The fourth proportional to 6,431.58, 9,646.20 and 2,274.66 is: 3,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.58 : 9,646.20 = 2,274.66 : x
  2. Step 2: Convert to fraction form
    6,431.58/9,646.20 = 2,274.66/x
  3. Step 3: Cross multiply
    6,431.58x = 9,646.20 × 2,274.66
  4. Step 4: Simplify right side
    6,431.58x = 21,941,825.29
  5. Step 5: Solve for x
    x = 21,941,825.29/6,431.58
  6. Step 6: Final answer
    x = 3,411.58

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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.