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Finding the Fourth Proportional to 6,356.71, 9,537.81 and 3,437.08

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Solution

The fourth proportional to 6,356.71, 9,537.81 and 3,437.08 is: 5,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.71 : 9,537.81 = 3,437.08 : x
  2. Step 2: Convert to fraction form
    6,356.71/9,537.81 = 3,437.08/x
  3. Step 3: Cross multiply
    6,356.71x = 9,537.81 × 3,437.08
  4. Step 4: Simplify right side
    6,356.71x = 32,782,215.99
  5. Step 5: Solve for x
    x = 32,782,215.99/6,356.71
  6. Step 6: Final answer
    x = 5,157.10

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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.