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Finding the Fourth Proportional to 6,002.84, 9,005.16 and 2,106.56

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Solution

The fourth proportional to 6,002.84, 9,005.16 and 2,106.56 is: 3,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.84 : 9,005.16 = 2,106.56 : x
  2. Step 2: Convert to fraction form
    6,002.84/9,005.16 = 2,106.56/x
  3. Step 3: Cross multiply
    6,002.84x = 9,005.16 × 2,106.56
  4. Step 4: Simplify right side
    6,002.84x = 18,969,909.85
  5. Step 5: Solve for x
    x = 18,969,909.85/6,002.84
  6. Step 6: Final answer
    x = 3,160.16

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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.