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Finding the Fourth Proportional to 9,357.00, 14,024.87 and 3,115.54

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Solution

The fourth proportional to 9,357.00, 14,024.87 and 3,115.54 is: 4,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.00 : 14,024.87 = 3,115.54 : x
  2. Step 2: Convert to fraction form
    9,357.00/14,024.87 = 3,115.54/x
  3. Step 3: Cross multiply
    9,357.00x = 14,024.87 × 3,115.54
  4. Step 4: Simplify right side
    9,357.00x = 43,695,027.90
  5. Step 5: Solve for x
    x = 43,695,027.90/9,357.00
  6. Step 6: Final answer
    x = 4,669.77

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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.