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Finding the Fourth Proportional to 9,056.30, 13,522.46 and 8,113.14

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Solution

The fourth proportional to 9,056.30, 13,522.46 and 8,113.14 is: 12,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.30 : 13,522.46 = 8,113.14 : x
  2. Step 2: Convert to fraction form
    9,056.30/13,522.46 = 8,113.14/x
  3. Step 3: Cross multiply
    9,056.30x = 13,522.46 × 8,113.14
  4. Step 4: Simplify right side
    9,056.30x = 109,709,570.56
  5. Step 5: Solve for x
    x = 109,709,570.56/9,056.30
  6. Step 6: Final answer
    x = 12,114.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.