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Finding the Fourth Proportional to 6,513.09, 9,763.84 and 2,352.18

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Solution

The fourth proportional to 6,513.09, 9,763.84 and 2,352.18 is: 3,526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.09 : 9,763.84 = 2,352.18 : x
  2. Step 2: Convert to fraction form
    6,513.09/9,763.84 = 2,352.18/x
  3. Step 3: Cross multiply
    6,513.09x = 9,763.84 × 2,352.18
  4. Step 4: Simplify right side
    6,513.09x = 22,966,309.17
  5. Step 5: Solve for x
    x = 22,966,309.17/6,513.09
  6. Step 6: Final answer
    x = 3,526.18

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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.