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Finding the Fourth Proportional to 9,132.17, 13,698.86 and 3,208.34

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Solution

The fourth proportional to 9,132.17, 13,698.86 and 3,208.34 is: 4,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.17 : 13,698.86 = 3,208.34 : x
  2. Step 2: Convert to fraction form
    9,132.17/13,698.86 = 3,208.34/x
  3. Step 3: Cross multiply
    9,132.17x = 13,698.86 × 3,208.34
  4. Step 4: Simplify right side
    9,132.17x = 43,950,515.96
  5. Step 5: Solve for x
    x = 43,950,515.96/9,132.17
  6. Step 6: Final answer
    x = 4,812.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.