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Finding the Fourth Proportional to 9,839.30, 13,562.00 and 6,964.31

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Solution

The fourth proportional to 9,839.30, 13,562.00 and 6,964.31 is: 9,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.30 : 13,562.00 = 6,964.31 : x
  2. Step 2: Convert to fraction form
    9,839.30/13,562.00 = 6,964.31/x
  3. Step 3: Cross multiply
    9,839.30x = 13,562.00 × 6,964.31
  4. Step 4: Simplify right side
    9,839.30x = 94,449,869.59
  5. Step 5: Solve for x
    x = 94,449,869.59/9,839.30
  6. Step 6: Final answer
    x = 9,599.25

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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.