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Finding the Fourth Proportional to 6,733.58, 9,282.60 and 4,461.12

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Solution

The fourth proportional to 6,733.58, 9,282.60 and 4,461.12 is: 6,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.58 : 9,282.60 = 4,461.12 : x
  2. Step 2: Convert to fraction form
    6,733.58/9,282.60 = 4,461.12/x
  3. Step 3: Cross multiply
    6,733.58x = 9,282.60 × 4,461.12
  4. Step 4: Simplify right side
    6,733.58x = 41,410,792.51
  5. Step 5: Solve for x
    x = 41,410,792.51/6,733.58
  6. Step 6: Final answer
    x = 6,149.89

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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.