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Finding the Fourth Proportional to 6,670.63, 9,205.42 and 3,686.46

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Solution

The fourth proportional to 6,670.63, 9,205.42 and 3,686.46 is: 5,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.63 : 9,205.42 = 3,686.46 : x
  2. Step 2: Convert to fraction form
    6,670.63/9,205.42 = 3,686.46/x
  3. Step 3: Cross multiply
    6,670.63x = 9,205.42 × 3,686.46
  4. Step 4: Simplify right side
    6,670.63x = 33,935,412.61
  5. Step 5: Solve for x
    x = 33,935,412.61/6,670.63
  6. Step 6: Final answer
    x = 5,087.29

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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.