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Finding the Fourth Proportional to 9,522.64, 13,136.88 and 6,166.53

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Solution

The fourth proportional to 9,522.64, 13,136.88 and 6,166.53 is: 8,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.64 : 13,136.88 = 6,166.53 : x
  2. Step 2: Convert to fraction form
    9,522.64/13,136.88 = 6,166.53/x
  3. Step 3: Cross multiply
    9,522.64x = 13,136.88 × 6,166.53
  4. Step 4: Simplify right side
    9,522.64x = 81,008,941.50
  5. Step 5: Solve for x
    x = 81,008,941.50/9,522.64
  6. Step 6: Final answer
    x = 8,506.99

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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.