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Finding the Fourth Proportional to 9,775.14, 14,659.12 and 3,533.65

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Solution

The fourth proportional to 9,775.14, 14,659.12 and 3,533.65 is: 5,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.14 : 14,659.12 = 3,533.65 : x
  2. Step 2: Convert to fraction form
    9,775.14/14,659.12 = 3,533.65/x
  3. Step 3: Cross multiply
    9,775.14x = 14,659.12 × 3,533.65
  4. Step 4: Simplify right side
    9,775.14x = 51,800,199.39
  5. Step 5: Solve for x
    x = 51,800,199.39/9,775.14
  6. Step 6: Final answer
    x = 5,299.18

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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.