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Finding the Fourth Proportional to 9,032.76, 13,518 and 5,520.96

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Solution

The fourth proportional to 9,032.76, 13,518 and 5,520.96 is: 8,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.76 : 13,518 = 5,520.96 : x
  2. Step 2: Convert to fraction form
    9,032.76/13,518 = 5,520.96/x
  3. Step 3: Cross multiply
    9,032.76x = 13,518 × 5,520.96
  4. Step 4: Simplify right side
    9,032.76x = 74,632,337.28
  5. Step 5: Solve for x
    x = 74,632,337.28/9,032.76
  6. Step 6: Final answer
    x = 8,262.41

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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.