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Finding the Fourth Proportional to 6,431.32, 9,643.74 and 2,731.51

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Solution

The fourth proportional to 6,431.32, 9,643.74 and 2,731.51 is: 4,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.32 : 9,643.74 = 2,731.51 : x
  2. Step 2: Convert to fraction form
    6,431.32/9,643.74 = 2,731.51/x
  3. Step 3: Cross multiply
    6,431.32x = 9,643.74 × 2,731.51
  4. Step 4: Simplify right side
    6,431.32x = 26,341,972.25
  5. Step 5: Solve for x
    x = 26,341,972.25/6,431.32
  6. Step 6: Final answer
    x = 4,095.89

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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.