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Finding the Fourth Proportional to 9,812.62, 13,538.67 and 9,320.14

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Solution

The fourth proportional to 9,812.62, 13,538.67 and 9,320.14 is: 12,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.62 : 13,538.67 = 9,320.14 : x
  2. Step 2: Convert to fraction form
    9,812.62/13,538.67 = 9,320.14/x
  3. Step 3: Cross multiply
    9,812.62x = 13,538.67 × 9,320.14
  4. Step 4: Simplify right side
    9,812.62x = 126,182,299.81
  5. Step 5: Solve for x
    x = 126,182,299.81/9,812.62
  6. Step 6: Final answer
    x = 12,859.19

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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.