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Finding the Fourth Proportional to 9,762.37, 14,634.59 and 3,520.91

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Solution

The fourth proportional to 9,762.37, 14,634.59 and 3,520.91 is: 5,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.37 : 14,634.59 = 3,520.91 : x
  2. Step 2: Convert to fraction form
    9,762.37/14,634.59 = 3,520.91/x
  3. Step 3: Cross multiply
    9,762.37x = 14,634.59 × 3,520.91
  4. Step 4: Simplify right side
    9,762.37x = 51,527,093.26
  5. Step 5: Solve for x
    x = 51,527,093.26/9,762.37
  6. Step 6: Final answer
    x = 5,278.13

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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.