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Finding the Fourth Proportional to 6,356.72, 9,537.80 and 3,437.06

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Solution

The fourth proportional to 6,356.72, 9,537.80 and 3,437.06 is: 5,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.72 : 9,537.80 = 3,437.06 : x
  2. Step 2: Convert to fraction form
    6,356.72/9,537.80 = 3,437.06/x
  3. Step 3: Cross multiply
    6,356.72x = 9,537.80 × 3,437.06
  4. Step 4: Simplify right side
    6,356.72x = 32,781,990.87
  5. Step 5: Solve for x
    x = 32,781,990.87/6,356.72
  6. Step 6: Final answer
    x = 5,157.06

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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.