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Finding the Fourth Proportional to 6,076.17, 9,106.42 and 2,950.12

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Solution

The fourth proportional to 6,076.17, 9,106.42 and 2,950.12 is: 4,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.17 : 9,106.42 = 2,950.12 : x
  2. Step 2: Convert to fraction form
    6,076.17/9,106.42 = 2,950.12/x
  3. Step 3: Cross multiply
    6,076.17x = 9,106.42 × 2,950.12
  4. Step 4: Simplify right side
    6,076.17x = 26,865,031.77
  5. Step 5: Solve for x
    x = 26,865,031.77/6,076.17
  6. Step 6: Final answer
    x = 4,421.38

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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.