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Finding the Fourth Proportional to 9,635.80, 13,282.02 and 7,864.36

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Solution

The fourth proportional to 9,635.80, 13,282.02 and 7,864.36 is: 10,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.80 : 13,282.02 = 7,864.36 : x
  2. Step 2: Convert to fraction form
    9,635.80/13,282.02 = 7,864.36/x
  3. Step 3: Cross multiply
    9,635.80x = 13,282.02 × 7,864.36
  4. Step 4: Simplify right side
    9,635.80x = 104,454,586.81
  5. Step 5: Solve for x
    x = 104,454,586.81/9,635.80
  6. Step 6: Final answer
    x = 10,840.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.