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Finding the Fourth Proportional to 9,680.36, 14,522.79 and 3,016.53

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Solution

The fourth proportional to 9,680.36, 14,522.79 and 3,016.53 is: 4,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.36 : 14,522.79 = 3,016.53 : x
  2. Step 2: Convert to fraction form
    9,680.36/14,522.79 = 3,016.53/x
  3. Step 3: Cross multiply
    9,680.36x = 14,522.79 × 3,016.53
  4. Step 4: Simplify right side
    9,680.36x = 43,808,431.72
  5. Step 5: Solve for x
    x = 43,808,431.72/9,680.36
  6. Step 6: Final answer
    x = 4,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.