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Finding the Fourth Proportional to 6,372, 9,539.46 and 4,735.80

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Solution

The fourth proportional to 6,372, 9,539.46 and 4,735.80 is: 7,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372 : 9,539.46 = 4,735.80 : x
  2. Step 2: Convert to fraction form
    6,372/9,539.46 = 4,735.80/x
  3. Step 3: Cross multiply
    6,372x = 9,539.46 × 4,735.80
  4. Step 4: Simplify right side
    6,372x = 45,176,974.67
  5. Step 5: Solve for x
    x = 45,176,974.67/6,372
  6. Step 6: Final answer
    x = 7,089.92

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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.