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Finding the Fourth Proportional to 6,496.18, 9,735.28 and 3,716.98

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Solution

The fourth proportional to 6,496.18, 9,735.28 and 3,716.98 is: 5,570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.18 : 9,735.28 = 3,716.98 : x
  2. Step 2: Convert to fraction form
    6,496.18/9,735.28 = 3,716.98/x
  3. Step 3: Cross multiply
    6,496.18x = 9,735.28 × 3,716.98
  4. Step 4: Simplify right side
    6,496.18x = 36,185,807.42
  5. Step 5: Solve for x
    x = 36,185,807.42/6,496.18
  6. Step 6: Final answer
    x = 5,570.32

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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.