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Finding the Fourth Proportional to 9,738.66, 14,611.38 and 3,076.19

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Solution

The fourth proportional to 9,738.66, 14,611.38 and 3,076.19 is: 4,615.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.66 : 14,611.38 = 3,076.19 : x
  2. Step 2: Convert to fraction form
    9,738.66/14,611.38 = 3,076.19/x
  3. Step 3: Cross multiply
    9,738.66x = 14,611.38 × 3,076.19
  4. Step 4: Simplify right side
    9,738.66x = 44,947,381.04
  5. Step 5: Solve for x
    x = 44,947,381.04/9,738.66
  6. Step 6: Final answer
    x = 4,615.36

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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.