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Finding the Fourth Proportional to 6,661.46, 9,188.06 and 4,672.46

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Solution

The fourth proportional to 6,661.46, 9,188.06 and 4,672.46 is: 6,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.46 : 9,188.06 = 4,672.46 : x
  2. Step 2: Convert to fraction form
    6,661.46/9,188.06 = 4,672.46/x
  3. Step 3: Cross multiply
    6,661.46x = 9,188.06 × 4,672.46
  4. Step 4: Simplify right side
    6,661.46x = 42,930,842.83
  5. Step 5: Solve for x
    x = 42,930,842.83/6,661.46
  6. Step 6: Final answer
    x = 6,444.66

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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.