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Finding the Fourth Proportional to 6,357.87, 9,537.44 and 2,356.33

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Solution

The fourth proportional to 6,357.87, 9,537.44 and 2,356.33 is: 3,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.87 : 9,537.44 = 2,356.33 : x
  2. Step 2: Convert to fraction form
    6,357.87/9,537.44 = 2,356.33/x
  3. Step 3: Cross multiply
    6,357.87x = 9,537.44 × 2,356.33
  4. Step 4: Simplify right side
    6,357.87x = 22,473,373.81
  5. Step 5: Solve for x
    x = 22,473,373.81/6,357.87
  6. Step 6: Final answer
    x = 3,534.73

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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.