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Finding the Fourth Proportional to 6,659.46, 9,185.31 and 4,670.46

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Solution

The fourth proportional to 6,659.46, 9,185.31 and 4,670.46 is: 6,441.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.46 : 9,185.31 = 4,670.46 : x
  2. Step 2: Convert to fraction form
    6,659.46/9,185.31 = 4,670.46/x
  3. Step 3: Cross multiply
    6,659.46x = 9,185.31 × 4,670.46
  4. Step 4: Simplify right side
    6,659.46x = 42,899,622.94
  5. Step 5: Solve for x
    x = 42,899,622.94/6,659.46
  6. Step 6: Final answer
    x = 6,441.91

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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.