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Finding the Fourth Proportional to 9,311.97, 12,835.72 and 7,319.10

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Solution

The fourth proportional to 9,311.97, 12,835.72 and 7,319.10 is: 10,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.97 : 12,835.72 = 7,319.10 : x
  2. Step 2: Convert to fraction form
    9,311.97/12,835.72 = 7,319.10/x
  3. Step 3: Cross multiply
    9,311.97x = 12,835.72 × 7,319.10
  4. Step 4: Simplify right side
    9,311.97x = 93,945,918.25
  5. Step 5: Solve for x
    x = 93,945,918.25/9,311.97
  6. Step 6: Final answer
    x = 10,088.73

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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.