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Finding the Fourth Proportional to 6,277.67, 9,422.64 and 3,506.32

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Solution

The fourth proportional to 6,277.67, 9,422.64 and 3,506.32 is: 5,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.67 : 9,422.64 = 3,506.32 : x
  2. Step 2: Convert to fraction form
    6,277.67/9,422.64 = 3,506.32/x
  3. Step 3: Cross multiply
    6,277.67x = 9,422.64 × 3,506.32
  4. Step 4: Simplify right side
    6,277.67x = 33,038,791.08
  5. Step 5: Solve for x
    x = 33,038,791.08/6,277.67
  6. Step 6: Final answer
    x = 5,262.91

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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.