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Finding the Fourth Proportional to 9,522.84, 13,137.16 and 6,166.74

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Solution

The fourth proportional to 9,522.84, 13,137.16 and 6,166.74 is: 8,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.84 : 13,137.16 = 6,166.74 : x
  2. Step 2: Convert to fraction form
    9,522.84/13,137.16 = 6,166.74/x
  3. Step 3: Cross multiply
    9,522.84x = 13,137.16 × 6,166.74
  4. Step 4: Simplify right side
    9,522.84x = 81,013,447.59
  5. Step 5: Solve for x
    x = 81,013,447.59/9,522.84
  6. Step 6: Final answer
    x = 8,507.27

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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.