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Finding the Fourth Proportional to 6,277.67, 9,406.52 and 3,316.01

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Solution

The fourth proportional to 6,277.67, 9,406.52 and 3,316.01 is: 4,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.67 : 9,406.52 = 3,316.01 : x
  2. Step 2: Convert to fraction form
    6,277.67/9,406.52 = 3,316.01/x
  3. Step 3: Cross multiply
    6,277.67x = 9,406.52 × 3,316.01
  4. Step 4: Simplify right side
    6,277.67x = 31,192,050.77
  5. Step 5: Solve for x
    x = 31,192,050.77/6,277.67
  6. Step 6: Final answer
    x = 4,968.73

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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.