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Finding the Fourth Proportional to 9,640.62, 13,303.71 and 5,661.63

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Solution

The fourth proportional to 9,640.62, 13,303.71 and 5,661.63 is: 7,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.62 : 13,303.71 = 5,661.63 : x
  2. Step 2: Convert to fraction form
    9,640.62/13,303.71 = 5,661.63/x
  3. Step 3: Cross multiply
    9,640.62x = 13,303.71 × 5,661.63
  4. Step 4: Simplify right side
    9,640.62x = 75,320,683.65
  5. Step 5: Solve for x
    x = 75,320,683.65/9,640.62
  6. Step 6: Final answer
    x = 7,812.85

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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.