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Finding the Fourth Proportional to 6,548.45, 9,037.05 and 3,564.47

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Solution

The fourth proportional to 6,548.45, 9,037.05 and 3,564.47 is: 4,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.45 : 9,037.05 = 3,564.47 : x
  2. Step 2: Convert to fraction form
    6,548.45/9,037.05 = 3,564.47/x
  3. Step 3: Cross multiply
    6,548.45x = 9,037.05 × 3,564.47
  4. Step 4: Simplify right side
    6,548.45x = 32,212,293.61
  5. Step 5: Solve for x
    x = 32,212,293.61/6,548.45
  6. Step 6: Final answer
    x = 4,919.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.