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Finding the Fourth Proportional to 9,609.95, 14,416.41 and 4,063.32

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Solution

The fourth proportional to 9,609.95, 14,416.41 and 4,063.32 is: 6,095.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.95 : 14,416.41 = 4,063.32 : x
  2. Step 2: Convert to fraction form
    9,609.95/14,416.41 = 4,063.32/x
  3. Step 3: Cross multiply
    9,609.95x = 14,416.41 × 4,063.32
  4. Step 4: Simplify right side
    9,609.95x = 58,578,487.08
  5. Step 5: Solve for x
    x = 58,578,487.08/9,609.95
  6. Step 6: Final answer
    x = 6,095.61

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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.