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Finding the Fourth Proportional to 9,332.96, 13,992.03 and 4,650.41

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Solution

The fourth proportional to 9,332.96, 13,992.03 and 4,650.41 is: 6,971.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.96 : 13,992.03 = 4,650.41 : x
  2. Step 2: Convert to fraction form
    9,332.96/13,992.03 = 4,650.41/x
  3. Step 3: Cross multiply
    9,332.96x = 13,992.03 × 4,650.41
  4. Step 4: Simplify right side
    9,332.96x = 65,068,711.21
  5. Step 5: Solve for x
    x = 65,068,711.21/9,332.96
  6. Step 6: Final answer
    x = 6,971.93

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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.