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Finding the Fourth Proportional to 9,796.34, 13,523.34 and 5,818.74

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Solution

The fourth proportional to 9,796.34, 13,523.34 and 5,818.74 is: 8,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.34 : 13,523.34 = 5,818.74 : x
  2. Step 2: Convert to fraction form
    9,796.34/13,523.34 = 5,818.74/x
  3. Step 3: Cross multiply
    9,796.34x = 13,523.34 × 5,818.74
  4. Step 4: Simplify right side
    9,796.34x = 78,688,799.39
  5. Step 5: Solve for x
    x = 78,688,799.39/9,796.34
  6. Step 6: Final answer
    x = 8,032.47

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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.