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Finding the Fourth Proportional to 6,535.80, 9,807.59 and 2,376.14

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Solution

The fourth proportional to 6,535.80, 9,807.59 and 2,376.14 is: 3,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.80 : 9,807.59 = 2,376.14 : x
  2. Step 2: Convert to fraction form
    6,535.80/9,807.59 = 2,376.14/x
  3. Step 3: Cross multiply
    6,535.80x = 9,807.59 × 2,376.14
  4. Step 4: Simplify right side
    6,535.80x = 23,304,163.80
  5. Step 5: Solve for x
    x = 23,304,163.80/6,535.80
  6. Step 6: Final answer
    x = 3,565.62

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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.