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Finding the Fourth Proportional to 9,520.84, 13,134.18 and 6,164.20

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Solution

The fourth proportional to 9,520.84, 13,134.18 and 6,164.20 is: 8,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.84 : 13,134.18 = 6,164.20 : x
  2. Step 2: Convert to fraction form
    9,520.84/13,134.18 = 6,164.20/x
  3. Step 3: Cross multiply
    9,520.84x = 13,134.18 × 6,164.20
  4. Step 4: Simplify right side
    9,520.84x = 80,961,712.36
  5. Step 5: Solve for x
    x = 80,961,712.36/9,520.84
  6. Step 6: Final answer
    x = 8,503.63

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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.