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Finding the Fourth Proportional to 6,773.12, 9,342.72 and 4,647.68

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Solution

The fourth proportional to 6,773.12, 9,342.72 and 4,647.68 is: 6,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.12 : 9,342.72 = 4,647.68 : x
  2. Step 2: Convert to fraction form
    6,773.12/9,342.72 = 4,647.68/x
  3. Step 3: Cross multiply
    6,773.12x = 9,342.72 × 4,647.68
  4. Step 4: Simplify right side
    6,773.12x = 43,421,972.89
  5. Step 5: Solve for x
    x = 43,421,972.89/6,773.12
  6. Step 6: Final answer
    x = 6,410.93

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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.