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Finding the Fourth Proportional to 6,630.89, 9,150.66 and 3,646.76

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Solution

The fourth proportional to 6,630.89, 9,150.66 and 3,646.76 is: 5,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.89 : 9,150.66 = 3,646.76 : x
  2. Step 2: Convert to fraction form
    6,630.89/9,150.66 = 3,646.76/x
  3. Step 3: Cross multiply
    6,630.89x = 9,150.66 × 3,646.76
  4. Step 4: Simplify right side
    6,630.89x = 33,370,242.63
  5. Step 5: Solve for x
    x = 33,370,242.63/6,630.89
  6. Step 6: Final answer
    x = 5,032.54

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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.