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Finding the Fourth Proportional to 6,513.63, 9,768.38 and 2,353.08

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Solution

The fourth proportional to 6,513.63, 9,768.38 and 2,353.08 is: 3,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.63 : 9,768.38 = 2,353.08 : x
  2. Step 2: Convert to fraction form
    6,513.63/9,768.38 = 2,353.08/x
  3. Step 3: Cross multiply
    6,513.63x = 9,768.38 × 2,353.08
  4. Step 4: Simplify right side
    6,513.63x = 22,985,804.48
  5. Step 5: Solve for x
    x = 22,985,804.48/6,513.63
  6. Step 6: Final answer
    x = 3,528.88

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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.