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Finding the Fourth Proportional to 9,761.46, 14,642.06 and 2,365.98

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Solution

The fourth proportional to 9,761.46, 14,642.06 and 2,365.98 is: 3,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.46 : 14,642.06 = 2,365.98 : x
  2. Step 2: Convert to fraction form
    9,761.46/14,642.06 = 2,365.98/x
  3. Step 3: Cross multiply
    9,761.46x = 14,642.06 × 2,365.98
  4. Step 4: Simplify right side
    9,761.46x = 34,642,795.56
  5. Step 5: Solve for x
    x = 34,642,795.56/9,761.46
  6. Step 6: Final answer
    x = 3,548.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.