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Finding the Fourth Proportional to 6,548.76, 9,037.27 and 3,564.58

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Solution

The fourth proportional to 6,548.76, 9,037.27 and 3,564.58 is: 4,919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.76 : 9,037.27 = 3,564.58 : x
  2. Step 2: Convert to fraction form
    6,548.76/9,037.27 = 3,564.58/x
  3. Step 3: Cross multiply
    6,548.76x = 9,037.27 × 3,564.58
  4. Step 4: Simplify right side
    6,548.76x = 32,214,083.04
  5. Step 5: Solve for x
    x = 32,214,083.04/6,548.76
  6. Step 6: Final answer
    x = 4,919.12

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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.