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Finding the Fourth Proportional to 6,548.81, 9,037.04 and 3,564.46

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Solution

The fourth proportional to 6,548.81, 9,037.04 and 3,564.46 is: 4,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.81 : 9,037.04 = 3,564.46 : x
  2. Step 2: Convert to fraction form
    6,548.81/9,037.04 = 3,564.46/x
  3. Step 3: Cross multiply
    6,548.81x = 9,037.04 × 3,564.46
  4. Step 4: Simplify right side
    6,548.81x = 32,212,161.07
  5. Step 5: Solve for x
    x = 32,212,161.07/6,548.81
  6. Step 6: Final answer
    x = 4,918.78

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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.