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Finding the Fourth Proportional to 9,824.46, 14,713.80 and 7,185.37

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Solution

The fourth proportional to 9,824.46, 14,713.80 and 7,185.37 is: 10,761.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.46 : 14,713.80 = 7,185.37 : x
  2. Step 2: Convert to fraction form
    9,824.46/14,713.80 = 7,185.37/x
  3. Step 3: Cross multiply
    9,824.46x = 14,713.80 × 7,185.37
  4. Step 4: Simplify right side
    9,824.46x = 105,724,122.07
  5. Step 5: Solve for x
    x = 105,724,122.07/9,824.46
  6. Step 6: Final answer
    x = 10,761.31

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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.