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Finding the Fourth Proportional to 9,562.65, 13,196.42 and 5,313.69

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Solution

The fourth proportional to 9,562.65, 13,196.42 and 5,313.69 is: 7,332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.65 : 13,196.42 = 5,313.69 : x
  2. Step 2: Convert to fraction form
    9,562.65/13,196.42 = 5,313.69/x
  3. Step 3: Cross multiply
    9,562.65x = 13,196.42 × 5,313.69
  4. Step 4: Simplify right side
    9,562.65x = 70,121,684.99
  5. Step 5: Solve for x
    x = 70,121,684.99/9,562.65
  6. Step 6: Final answer
    x = 7,332.87

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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.