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Finding the Fourth Proportional to 6,279.64, 9,399.12 and 4,635.52

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Solution

The fourth proportional to 6,279.64, 9,399.12 and 4,635.52 is: 6,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.64 : 9,399.12 = 4,635.52 : x
  2. Step 2: Convert to fraction form
    6,279.64/9,399.12 = 4,635.52/x
  3. Step 3: Cross multiply
    6,279.64x = 9,399.12 × 4,635.52
  4. Step 4: Simplify right side
    6,279.64x = 43,569,808.74
  5. Step 5: Solve for x
    x = 43,569,808.74/6,279.64
  6. Step 6: Final answer
    x = 6,938.27

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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.