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Finding the Fourth Proportional to 9,174.65, 12,661.85 and 5,639.27

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Solution

The fourth proportional to 9,174.65, 12,661.85 and 5,639.27 is: 7,782.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.65 : 12,661.85 = 5,639.27 : x
  2. Step 2: Convert to fraction form
    9,174.65/12,661.85 = 5,639.27/x
  3. Step 3: Cross multiply
    9,174.65x = 12,661.85 × 5,639.27
  4. Step 4: Simplify right side
    9,174.65x = 71,403,541.64
  5. Step 5: Solve for x
    x = 71,403,541.64/9,174.65
  6. Step 6: Final answer
    x = 7,782.70

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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.