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Finding the Fourth Proportional to 6,106.82, 9,145.98 and 4,459.28

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Solution

The fourth proportional to 6,106.82, 9,145.98 and 4,459.28 is: 6,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.82 : 9,145.98 = 4,459.28 : x
  2. Step 2: Convert to fraction form
    6,106.82/9,145.98 = 4,459.28/x
  3. Step 3: Cross multiply
    6,106.82x = 9,145.98 × 4,459.28
  4. Step 4: Simplify right side
    6,106.82x = 40,784,439.96
  5. Step 5: Solve for x
    x = 40,784,439.96/6,106.82
  6. Step 6: Final answer
    x = 6,678.51

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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.