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Finding the Fourth Proportional to 9,280.40, 13,850.18 and 8,524.56

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Solution

The fourth proportional to 9,280.40, 13,850.18 and 8,524.56 is: 12,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.40 : 13,850.18 = 8,524.56 : x
  2. Step 2: Convert to fraction form
    9,280.40/13,850.18 = 8,524.56/x
  3. Step 3: Cross multiply
    9,280.40x = 13,850.18 × 8,524.56
  4. Step 4: Simplify right side
    9,280.40x = 118,066,690.42
  5. Step 5: Solve for x
    x = 118,066,690.42/9,280.40
  6. Step 6: Final answer
    x = 12,722.16

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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.