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Finding the Fourth Proportional to 9,661.87, 14,485.71 and 3,084.26

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Solution

The fourth proportional to 9,661.87, 14,485.71 and 3,084.26 is: 4,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.87 : 14,485.71 = 3,084.26 : x
  2. Step 2: Convert to fraction form
    9,661.87/14,485.71 = 3,084.26/x
  3. Step 3: Cross multiply
    9,661.87x = 14,485.71 × 3,084.26
  4. Step 4: Simplify right side
    9,661.87x = 44,677,695.92
  5. Step 5: Solve for x
    x = 44,677,695.92/9,661.87
  6. Step 6: Final answer
    x = 4,624.13

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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.