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Finding the Fourth Proportional to 9,203.10, 13,808.75 and 4,819.53

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Solution

The fourth proportional to 9,203.10, 13,808.75 and 4,819.53 is: 7,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.10 : 13,808.75 = 4,819.53 : x
  2. Step 2: Convert to fraction form
    9,203.10/13,808.75 = 4,819.53/x
  3. Step 3: Cross multiply
    9,203.10x = 13,808.75 × 4,819.53
  4. Step 4: Simplify right side
    9,203.10x = 66,551,684.89
  5. Step 5: Solve for x
    x = 66,551,684.89/9,203.10
  6. Step 6: Final answer
    x = 7,231.44

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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.