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Finding the Fourth Proportional to 9,632.67, 13,293.71 and 5,383.76

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Solution

The fourth proportional to 9,632.67, 13,293.71 and 5,383.76 is: 7,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.67 : 13,293.71 = 5,383.76 : x
  2. Step 2: Convert to fraction form
    9,632.67/13,293.71 = 5,383.76/x
  3. Step 3: Cross multiply
    9,632.67x = 13,293.71 × 5,383.76
  4. Step 4: Simplify right side
    9,632.67x = 71,570,050.76
  5. Step 5: Solve for x
    x = 71,570,050.76/9,632.67
  6. Step 6: Final answer
    x = 7,429.93

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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.