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Finding the Fourth Proportional to 9,598.80, 14,396.64 and 3,753.36

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Solution

The fourth proportional to 9,598.80, 14,396.64 and 3,753.36 is: 5,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.80 : 14,396.64 = 3,753.36 : x
  2. Step 2: Convert to fraction form
    9,598.80/14,396.64 = 3,753.36/x
  3. Step 3: Cross multiply
    9,598.80x = 14,396.64 × 3,753.36
  4. Step 4: Simplify right side
    9,598.80x = 54,035,772.71
  5. Step 5: Solve for x
    x = 54,035,772.71/9,598.80
  6. Step 6: Final answer
    x = 5,629.43

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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.