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Finding the Fourth Proportional to 6,496.02, 9,741.60 and 5,125.50

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Solution

The fourth proportional to 6,496.02, 9,741.60 and 5,125.50 is: 7,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.02 : 9,741.60 = 5,125.50 : x
  2. Step 2: Convert to fraction form
    6,496.02/9,741.60 = 5,125.50/x
  3. Step 3: Cross multiply
    6,496.02x = 9,741.60 × 5,125.50
  4. Step 4: Simplify right side
    6,496.02x = 49,930,570.80
  5. Step 5: Solve for x
    x = 49,930,570.80/6,496.02
  6. Step 6: Final answer
    x = 7,686.33

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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.