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Finding the Fourth Proportional to 6,567.37, 9,062.84 and 3,583.13

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Solution

The fourth proportional to 6,567.37, 9,062.84 and 3,583.13 is: 4,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.37 : 9,062.84 = 3,583.13 : x
  2. Step 2: Convert to fraction form
    6,567.37/9,062.84 = 3,583.13/x
  3. Step 3: Cross multiply
    6,567.37x = 9,062.84 × 3,583.13
  4. Step 4: Simplify right side
    6,567.37x = 32,473,288.58
  5. Step 5: Solve for x
    x = 32,473,288.58/6,567.37
  6. Step 6: Final answer
    x = 4,944.65

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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.