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Finding the Fourth Proportional to 9,144.24, 12,624.87 and 7,469.65

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Solution

The fourth proportional to 9,144.24, 12,624.87 and 7,469.65 is: 10,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.24 : 12,624.87 = 7,469.65 : x
  2. Step 2: Convert to fraction form
    9,144.24/12,624.87 = 7,469.65/x
  3. Step 3: Cross multiply
    9,144.24x = 12,624.87 × 7,469.65
  4. Step 4: Simplify right side
    9,144.24x = 94,303,360.20
  5. Step 5: Solve for x
    x = 94,303,360.20/9,144.24
  6. Step 6: Final answer
    x = 10,312.87

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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.