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Finding the Fourth Proportional to 9,489.24, 13,089.69 and 5,509.83

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Solution

The fourth proportional to 9,489.24, 13,089.69 and 5,509.83 is: 7,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.24 : 13,089.69 = 5,509.83 : x
  2. Step 2: Convert to fraction form
    9,489.24/13,089.69 = 5,509.83/x
  3. Step 3: Cross multiply
    9,489.24x = 13,089.69 × 5,509.83
  4. Step 4: Simplify right side
    9,489.24x = 72,121,966.65
  5. Step 5: Solve for x
    x = 72,121,966.65/9,489.24
  6. Step 6: Final answer
    x = 7,600.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.