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Finding the Fourth Proportional to 9,639.50, 13,302.09 and 5,661.05

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Solution

The fourth proportional to 9,639.50, 13,302.09 and 5,661.05 is: 7,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.50 : 13,302.09 = 5,661.05 : x
  2. Step 2: Convert to fraction form
    9,639.50/13,302.09 = 5,661.05/x
  3. Step 3: Cross multiply
    9,639.50x = 13,302.09 × 5,661.05
  4. Step 4: Simplify right side
    9,639.50x = 75,303,730.08
  5. Step 5: Solve for x
    x = 75,303,730.08/9,639.50
  6. Step 6: Final answer
    x = 7,812.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.