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Finding the Fourth Proportional to 6,549.07, 9,037.74 and 3,564.94

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Solution

The fourth proportional to 6,549.07, 9,037.74 and 3,564.94 is: 4,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.07 : 9,037.74 = 3,564.94 : x
  2. Step 2: Convert to fraction form
    6,549.07/9,037.74 = 3,564.94/x
  3. Step 3: Cross multiply
    6,549.07x = 9,037.74 × 3,564.94
  4. Step 4: Simplify right side
    6,549.07x = 32,219,000.84
  5. Step 5: Solve for x
    x = 32,219,000.84/6,549.07
  6. Step 6: Final answer
    x = 4,919.63

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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.