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Finding the Fourth Proportional to 9,632.77, 13,293.48 and 5,383.65

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Solution

The fourth proportional to 9,632.77, 13,293.48 and 5,383.65 is: 7,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.77 : 13,293.48 = 5,383.65 : x
  2. Step 2: Convert to fraction form
    9,632.77/13,293.48 = 5,383.65/x
  3. Step 3: Cross multiply
    9,632.77x = 13,293.48 × 5,383.65
  4. Step 4: Simplify right side
    9,632.77x = 71,567,443.60
  5. Step 5: Solve for x
    x = 71,567,443.60/9,632.77
  6. Step 6: Final answer
    x = 7,429.58

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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.