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Finding the Fourth Proportional to 9,356.24, 12,914.28 and 5,817.68

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Solution

The fourth proportional to 9,356.24, 12,914.28 and 5,817.68 is: 8,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.24 : 12,914.28 = 5,817.68 : x
  2. Step 2: Convert to fraction form
    9,356.24/12,914.28 = 5,817.68/x
  3. Step 3: Cross multiply
    9,356.24x = 12,914.28 × 5,817.68
  4. Step 4: Simplify right side
    9,356.24x = 75,131,148.47
  5. Step 5: Solve for x
    x = 75,131,148.47/9,356.24
  6. Step 6: Final answer
    x = 8,030.06

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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.