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Finding the Fourth Proportional to 9,316.06, 12,847.34 and 5,959.94

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Solution

The fourth proportional to 9,316.06, 12,847.34 and 5,959.94 is: 8,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.06 : 12,847.34 = 5,959.94 : x
  2. Step 2: Convert to fraction form
    9,316.06/12,847.34 = 5,959.94/x
  3. Step 3: Cross multiply
    9,316.06x = 12,847.34 × 5,959.94
  4. Step 4: Simplify right side
    9,316.06x = 76,569,311.32
  5. Step 5: Solve for x
    x = 76,569,311.32/9,316.06
  6. Step 6: Final answer
    x = 8,219.07

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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.