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Finding the Fourth Proportional to 6,397.34, 9,598.44 and 2,237.81

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Solution

The fourth proportional to 6,397.34, 9,598.44 and 2,237.81 is: 3,357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.34 : 9,598.44 = 2,237.81 : x
  2. Step 2: Convert to fraction form
    6,397.34/9,598.44 = 2,237.81/x
  3. Step 3: Cross multiply
    6,397.34x = 9,598.44 × 2,237.81
  4. Step 4: Simplify right side
    6,397.34x = 21,479,485.02
  5. Step 5: Solve for x
    x = 21,479,485.02/6,397.34
  6. Step 6: Final answer
    x = 3,357.57

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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.