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Finding the Fourth Proportional to 6,530.22, 9,011.69 and 3,546.12

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Solution

The fourth proportional to 6,530.22, 9,011.69 and 3,546.12 is: 4,893.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.22 : 9,011.69 = 3,546.12 : x
  2. Step 2: Convert to fraction form
    6,530.22/9,011.69 = 3,546.12/x
  3. Step 3: Cross multiply
    6,530.22x = 9,011.69 × 3,546.12
  4. Step 4: Simplify right side
    6,530.22x = 31,956,563.50
  5. Step 5: Solve for x
    x = 31,956,563.50/6,530.22
  6. Step 6: Final answer
    x = 4,893.64

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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.