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Finding the Fourth Proportional to 9,716.47, 13,376.29 and 9,270.12

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Solution

The fourth proportional to 9,716.47, 13,376.29 and 9,270.12 is: 12,761.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.47 : 13,376.29 = 9,270.12 : x
  2. Step 2: Convert to fraction form
    9,716.47/13,376.29 = 9,270.12/x
  3. Step 3: Cross multiply
    9,716.47x = 13,376.29 × 9,270.12
  4. Step 4: Simplify right side
    9,716.47x = 123,999,813.45
  5. Step 5: Solve for x
    x = 123,999,813.45/9,716.47
  6. Step 6: Final answer
    x = 12,761.82

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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.