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Finding the Fourth Proportional to 9,311.30, 13,970.28 and 5,796.30

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Solution

The fourth proportional to 9,311.30, 13,970.28 and 5,796.30 is: 8,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.30 : 13,970.28 = 5,796.30 : x
  2. Step 2: Convert to fraction form
    9,311.30/13,970.28 = 5,796.30/x
  3. Step 3: Cross multiply
    9,311.30x = 13,970.28 × 5,796.30
  4. Step 4: Simplify right side
    9,311.30x = 80,975,933.96
  5. Step 5: Solve for x
    x = 80,975,933.96/9,311.30
  6. Step 6: Final answer
    x = 8,696.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.