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Finding the Fourth Proportional to 9,319.50, 12,857.40 and 5,339.16

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Solution

The fourth proportional to 9,319.50, 12,857.40 and 5,339.16 is: 7,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.50 : 12,857.40 = 5,339.16 : x
  2. Step 2: Convert to fraction form
    9,319.50/12,857.40 = 5,339.16/x
  3. Step 3: Cross multiply
    9,319.50x = 12,857.40 × 5,339.16
  4. Step 4: Simplify right side
    9,319.50x = 68,647,715.78
  5. Step 5: Solve for x
    x = 68,647,715.78/9,319.50
  6. Step 6: Final answer
    x = 7,366.03

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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.