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Finding the Fourth Proportional to 6,652.52, 9,173.70 and 4,662.44

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Solution

The fourth proportional to 6,652.52, 9,173.70 and 4,662.44 is: 6,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.52 : 9,173.70 = 4,662.44 : x
  2. Step 2: Convert to fraction form
    6,652.52/9,173.70 = 4,662.44/x
  3. Step 3: Cross multiply
    6,652.52x = 9,173.70 × 4,662.44
  4. Step 4: Simplify right side
    6,652.52x = 42,771,825.83
  5. Step 5: Solve for x
    x = 42,771,825.83/6,652.52
  6. Step 6: Final answer
    x = 6,429.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.