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Finding the Fourth Proportional to 6,292.62, 9,437.31 and 2,829.06

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Solution

The fourth proportional to 6,292.62, 9,437.31 and 2,829.06 is: 4,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.62 : 9,437.31 = 2,829.06 : x
  2. Step 2: Convert to fraction form
    6,292.62/9,437.31 = 2,829.06/x
  3. Step 3: Cross multiply
    6,292.62x = 9,437.31 × 2,829.06
  4. Step 4: Simplify right side
    6,292.62x = 26,698,716.23
  5. Step 5: Solve for x
    x = 26,698,716.23/6,292.62
  6. Step 6: Final answer
    x = 4,242.86

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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.