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Finding the Fourth Proportional to 9,878.37, 13,632.51 and 5,401.86

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Solution

The fourth proportional to 9,878.37, 13,632.51 and 5,401.86 is: 7,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.37 : 13,632.51 = 5,401.86 : x
  2. Step 2: Convert to fraction form
    9,878.37/13,632.51 = 5,401.86/x
  3. Step 3: Cross multiply
    9,878.37x = 13,632.51 × 5,401.86
  4. Step 4: Simplify right side
    9,878.37x = 73,640,910.47
  5. Step 5: Solve for x
    x = 73,640,910.47/9,878.37
  6. Step 6: Final answer
    x = 7,454.76

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