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Finding the Fourth Proportional to 9,819.32, 14,724.66 and 3,659

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Solution

The fourth proportional to 9,819.32, 14,724.66 and 3,659 is: 5,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.32 : 14,724.66 = 3,659 : x
  2. Step 2: Convert to fraction form
    9,819.32/14,724.66 = 3,659/x
  3. Step 3: Cross multiply
    9,819.32x = 14,724.66 × 3,659
  4. Step 4: Simplify right side
    9,819.32x = 53,877,530.94
  5. Step 5: Solve for x
    x = 53,877,530.94/9,819.32
  6. Step 6: Final answer
    x = 5,486.89

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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.