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Finding the Fourth Proportional to 9,661.83, 14,480.07 and 7,002.35

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Solution

The fourth proportional to 9,661.83, 14,480.07 and 7,002.35 is: 10,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.83 : 14,480.07 = 7,002.35 : x
  2. Step 2: Convert to fraction form
    9,661.83/14,480.07 = 7,002.35/x
  3. Step 3: Cross multiply
    9,661.83x = 14,480.07 × 7,002.35
  4. Step 4: Simplify right side
    9,661.83x = 101,394,473.81
  5. Step 5: Solve for x
    x = 101,394,473.81/9,661.83
  6. Step 6: Final answer
    x = 10,494.34

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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.