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Finding the Fourth Proportional to 6,670.89, 9,209.16 and 4,153.82

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Solution

The fourth proportional to 6,670.89, 9,209.16 and 4,153.82 is: 5,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.89 : 9,209.16 = 4,153.82 : x
  2. Step 2: Convert to fraction form
    6,670.89/9,209.16 = 4,153.82/x
  3. Step 3: Cross multiply
    6,670.89x = 9,209.16 × 4,153.82
  4. Step 4: Simplify right side
    6,670.89x = 38,253,146.95
  5. Step 5: Solve for x
    x = 38,253,146.95/6,670.89
  6. Step 6: Final answer
    x = 5,734.34

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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.