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Finding the Fourth Proportional to 9,114.56, 13,654.56 and 4,500.80

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Solution

The fourth proportional to 9,114.56, 13,654.56 and 4,500.80 is: 6,742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.56 : 13,654.56 = 4,500.80 : x
  2. Step 2: Convert to fraction form
    9,114.56/13,654.56 = 4,500.80/x
  3. Step 3: Cross multiply
    9,114.56x = 13,654.56 × 4,500.80
  4. Step 4: Simplify right side
    9,114.56x = 61,456,443.65
  5. Step 5: Solve for x
    x = 61,456,443.65/9,114.56
  6. Step 6: Final answer
    x = 6,742.67

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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.