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Finding the Fourth Proportional to 6,513.26, 9,763.88 and 2,352.28

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Solution

The fourth proportional to 6,513.26, 9,763.88 and 2,352.28 is: 3,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.26 : 9,763.88 = 2,352.28 : x
  2. Step 2: Convert to fraction form
    6,513.26/9,763.88 = 2,352.28/x
  3. Step 3: Cross multiply
    6,513.26x = 9,763.88 × 2,352.28
  4. Step 4: Simplify right side
    6,513.26x = 22,967,379.65
  5. Step 5: Solve for x
    x = 22,967,379.65/6,513.26
  6. Step 6: Final answer
    x = 3,526.25

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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.