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Finding the Fourth Proportional to 6,146.32, 9,219.54 and 1,529.32

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Solution

The fourth proportional to 6,146.32, 9,219.54 and 1,529.32 is: 2,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.32 : 9,219.54 = 1,529.32 : x
  2. Step 2: Convert to fraction form
    6,146.32/9,219.54 = 1,529.32/x
  3. Step 3: Cross multiply
    6,146.32x = 9,219.54 × 1,529.32
  4. Step 4: Simplify right side
    6,146.32x = 14,099,626.91
  5. Step 5: Solve for x
    x = 14,099,626.91/6,146.32
  6. Step 6: Final answer
    x = 2,293.99

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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.