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Finding the Fourth Proportional to 9,762.29, 14,640.44 and 3,521.52

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Solution

The fourth proportional to 9,762.29, 14,640.44 and 3,521.52 is: 5,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.29 : 14,640.44 = 3,521.52 : x
  2. Step 2: Convert to fraction form
    9,762.29/14,640.44 = 3,521.52/x
  3. Step 3: Cross multiply
    9,762.29x = 14,640.44 × 3,521.52
  4. Step 4: Simplify right side
    9,762.29x = 51,556,584.66
  5. Step 5: Solve for x
    x = 51,556,584.66/9,762.29
  6. Step 6: Final answer
    x = 5,281.20

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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.