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Finding the Fourth Proportional to 9,257.19, 13,887.23 and 3,099.75

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Solution

The fourth proportional to 9,257.19, 13,887.23 and 3,099.75 is: 4,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.19 : 13,887.23 = 3,099.75 : x
  2. Step 2: Convert to fraction form
    9,257.19/13,887.23 = 3,099.75/x
  3. Step 3: Cross multiply
    9,257.19x = 13,887.23 × 3,099.75
  4. Step 4: Simplify right side
    9,257.19x = 43,046,925.69
  5. Step 5: Solve for x
    x = 43,046,925.69/9,257.19
  6. Step 6: Final answer
    x = 4,650.11

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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.