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Finding the Fourth Proportional to 6,574.31, 9,864.53 and 2,876.06

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Solution

The fourth proportional to 6,574.31, 9,864.53 and 2,876.06 is: 4,315.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.31 : 9,864.53 = 2,876.06 : x
  2. Step 2: Convert to fraction form
    6,574.31/9,864.53 = 2,876.06/x
  3. Step 3: Cross multiply
    6,574.31x = 9,864.53 × 2,876.06
  4. Step 4: Simplify right side
    6,574.31x = 28,370,930.83
  5. Step 5: Solve for x
    x = 28,370,930.83/6,574.31
  6. Step 6: Final answer
    x = 4,315.43

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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.