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Finding the Fourth Proportional to 9,317.54, 12,857.04 and 6,299.23

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Solution

The fourth proportional to 9,317.54, 12,857.04 and 6,299.23 is: 8,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.54 : 12,857.04 = 6,299.23 : x
  2. Step 2: Convert to fraction form
    9,317.54/12,857.04 = 6,299.23/x
  3. Step 3: Cross multiply
    9,317.54x = 12,857.04 × 6,299.23
  4. Step 4: Simplify right side
    9,317.54x = 80,989,452.08
  5. Step 5: Solve for x
    x = 80,989,452.08/9,317.54
  6. Step 6: Final answer
    x = 8,692.15

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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.