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Finding the Fourth Proportional to 6,575.42, 9,867.44 and 2,415.47

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Solution

The fourth proportional to 6,575.42, 9,867.44 and 2,415.47 is: 3,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.42 : 9,867.44 = 2,415.47 : x
  2. Step 2: Convert to fraction form
    6,575.42/9,867.44 = 2,415.47/x
  3. Step 3: Cross multiply
    6,575.42x = 9,867.44 × 2,415.47
  4. Step 4: Simplify right side
    6,575.42x = 23,834,462.00
  5. Step 5: Solve for x
    x = 23,834,462.00/6,575.42
  6. Step 6: Final answer
    x = 3,624.78

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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.