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Finding the Fourth Proportional to 9,852.37, 14,770.89 and 6,724.69

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Solution

The fourth proportional to 9,852.37, 14,770.89 and 6,724.69 is: 10,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.37 : 14,770.89 = 6,724.69 : x
  2. Step 2: Convert to fraction form
    9,852.37/14,770.89 = 6,724.69/x
  3. Step 3: Cross multiply
    9,852.37x = 14,770.89 × 6,724.69
  4. Step 4: Simplify right side
    9,852.37x = 99,329,619.35
  5. Step 5: Solve for x
    x = 99,329,619.35/9,852.37
  6. Step 6: Final answer
    x = 10,081.80

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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.