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Finding the Fourth Proportional to 9,175.34, 13,765.18 and 3,332

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Solution

The fourth proportional to 9,175.34, 13,765.18 and 3,332 is: 4,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.34 : 13,765.18 = 3,332 : x
  2. Step 2: Convert to fraction form
    9,175.34/13,765.18 = 3,332/x
  3. Step 3: Cross multiply
    9,175.34x = 13,765.18 × 3,332
  4. Step 4: Simplify right side
    9,175.34x = 45,865,579.76
  5. Step 5: Solve for x
    x = 45,865,579.76/9,175.34
  6. Step 6: Final answer
    x = 4,998.79

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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.