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Finding the Fourth Proportional to 6,126.32, 9,184.88 and 3,005.36

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Solution

The fourth proportional to 6,126.32, 9,184.88 and 3,005.36 is: 4,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.32 : 9,184.88 = 3,005.36 : x
  2. Step 2: Convert to fraction form
    6,126.32/9,184.88 = 3,005.36/x
  3. Step 3: Cross multiply
    6,126.32x = 9,184.88 × 3,005.36
  4. Step 4: Simplify right side
    6,126.32x = 27,603,870.96
  5. Step 5: Solve for x
    x = 27,603,870.96/6,126.32
  6. Step 6: Final answer
    x = 4,505.78

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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.