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Finding the Fourth Proportional to 6,388.32, 9,585.72 and 4,544.76

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Solution

The fourth proportional to 6,388.32, 9,585.72 and 4,544.76 is: 6,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.32 : 9,585.72 = 4,544.76 : x
  2. Step 2: Convert to fraction form
    6,388.32/9,585.72 = 4,544.76/x
  3. Step 3: Cross multiply
    6,388.32x = 9,585.72 × 4,544.76
  4. Step 4: Simplify right side
    6,388.32x = 43,564,796.83
  5. Step 5: Solve for x
    x = 43,564,796.83/6,388.32
  6. Step 6: Final answer
    x = 6,819.44

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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.