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Finding the Fourth Proportional to 9,611.66, 14,417.40 and 3,037.84

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Solution

The fourth proportional to 9,611.66, 14,417.40 and 3,037.84 is: 4,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.66 : 14,417.40 = 3,037.84 : x
  2. Step 2: Convert to fraction form
    9,611.66/14,417.40 = 3,037.84/x
  3. Step 3: Cross multiply
    9,611.66x = 14,417.40 × 3,037.84
  4. Step 4: Simplify right side
    9,611.66x = 43,797,754.42
  5. Step 5: Solve for x
    x = 43,797,754.42/9,611.66
  6. Step 6: Final answer
    x = 4,556.73

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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.