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Finding the Fourth Proportional to 6,357.45, 9,531.03 and 2,892.27

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Solution

The fourth proportional to 6,357.45, 9,531.03 and 2,892.27 is: 4,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.45 : 9,531.03 = 2,892.27 : x
  2. Step 2: Convert to fraction form
    6,357.45/9,531.03 = 2,892.27/x
  3. Step 3: Cross multiply
    6,357.45x = 9,531.03 × 2,892.27
  4. Step 4: Simplify right side
    6,357.45x = 27,566,312.14
  5. Step 5: Solve for x
    x = 27,566,312.14/6,357.45
  6. Step 6: Final answer
    x = 4,336.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.