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Finding the Fourth Proportional to 9,316.87, 12,857.80 and 5,338.64

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Solution

The fourth proportional to 9,316.87, 12,857.80 and 5,338.64 is: 7,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.87 : 12,857.80 = 5,338.64 : x
  2. Step 2: Convert to fraction form
    9,316.87/12,857.80 = 5,338.64/x
  3. Step 3: Cross multiply
    9,316.87x = 12,857.80 × 5,338.64
  4. Step 4: Simplify right side
    9,316.87x = 68,643,165.39
  5. Step 5: Solve for x
    x = 68,643,165.39/9,316.87
  6. Step 6: Final answer
    x = 7,367.62

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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.