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Finding the Fourth Proportional to 9,610.14, 14,415.69 and 4,063.74

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Solution

The fourth proportional to 9,610.14, 14,415.69 and 4,063.74 is: 6,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.14 : 14,415.69 = 4,063.74 : x
  2. Step 2: Convert to fraction form
    9,610.14/14,415.69 = 4,063.74/x
  3. Step 3: Cross multiply
    9,610.14x = 14,415.69 × 4,063.74
  4. Step 4: Simplify right side
    9,610.14x = 58,581,616.08
  5. Step 5: Solve for x
    x = 58,581,616.08/9,610.14
  6. Step 6: Final answer
    x = 6,095.81

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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.