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Finding the Fourth Proportional to 9,632.68, 13,293.78 and 5,441.56

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Solution

The fourth proportional to 9,632.68, 13,293.78 and 5,441.56 is: 7,509.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.68 : 13,293.78 = 5,441.56 : x
  2. Step 2: Convert to fraction form
    9,632.68/13,293.78 = 5,441.56/x
  3. Step 3: Cross multiply
    9,632.68x = 13,293.78 × 5,441.56
  4. Step 4: Simplify right side
    9,632.68x = 72,338,901.50
  5. Step 5: Solve for x
    x = 72,338,901.50/9,632.68
  6. Step 6: Final answer
    x = 7,509.74

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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.