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Finding the Fourth Proportional to 9,751.98, 14,603.04 and 5,364.62

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Solution

The fourth proportional to 9,751.98, 14,603.04 and 5,364.62 is: 8,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.98 : 14,603.04 = 5,364.62 : x
  2. Step 2: Convert to fraction form
    9,751.98/14,603.04 = 5,364.62/x
  3. Step 3: Cross multiply
    9,751.98x = 14,603.04 × 5,364.62
  4. Step 4: Simplify right side
    9,751.98x = 78,339,760.44
  5. Step 5: Solve for x
    x = 78,339,760.44/9,751.98
  6. Step 6: Final answer
    x = 8,033.22

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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.