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Finding the Fourth Proportional to 6,101.84, 9,152.66 and 2,205.30

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Solution

The fourth proportional to 6,101.84, 9,152.66 and 2,205.30 is: 3,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.84 : 9,152.66 = 2,205.30 : x
  2. Step 2: Convert to fraction form
    6,101.84/9,152.66 = 2,205.30/x
  3. Step 3: Cross multiply
    6,101.84x = 9,152.66 × 2,205.30
  4. Step 4: Simplify right side
    6,101.84x = 20,184,361.10
  5. Step 5: Solve for x
    x = 20,184,361.10/6,101.84
  6. Step 6: Final answer
    x = 3,307.91

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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.