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Finding the Fourth Proportional to 6,064.32, 9,094.32 and 4,118.16

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Solution

The fourth proportional to 6,064.32, 9,094.32 and 4,118.16 is: 6,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064.32 : 9,094.32 = 4,118.16 : x
  2. Step 2: Convert to fraction form
    6,064.32/9,094.32 = 4,118.16/x
  3. Step 3: Cross multiply
    6,064.32x = 9,094.32 × 4,118.16
  4. Step 4: Simplify right side
    6,064.32x = 37,451,864.85
  5. Step 5: Solve for x
    x = 37,451,864.85/6,064.32
  6. Step 6: Final answer
    x = 6,175.77

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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.