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Finding the Fourth Proportional to 6,404.41, 9,607.11 and 2,457.56

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Solution

The fourth proportional to 6,404.41, 9,607.11 and 2,457.56 is: 3,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.41 : 9,607.11 = 2,457.56 : x
  2. Step 2: Convert to fraction form
    6,404.41/9,607.11 = 2,457.56/x
  3. Step 3: Cross multiply
    6,404.41x = 9,607.11 × 2,457.56
  4. Step 4: Simplify right side
    6,404.41x = 23,610,049.25
  5. Step 5: Solve for x
    x = 23,610,049.25/6,404.41
  6. Step 6: Final answer
    x = 3,686.53

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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.