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Finding the Fourth Proportional to 9,258.67, 13,885.17 and 3,709.09

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Solution

The fourth proportional to 9,258.67, 13,885.17 and 3,709.09 is: 5,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.67 : 13,885.17 = 3,709.09 : x
  2. Step 2: Convert to fraction form
    9,258.67/13,885.17 = 3,709.09/x
  3. Step 3: Cross multiply
    9,258.67x = 13,885.17 × 3,709.09
  4. Step 4: Simplify right side
    9,258.67x = 51,501,345.20
  5. Step 5: Solve for x
    x = 51,501,345.20/9,258.67
  6. Step 6: Final answer
    x = 5,562.50

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Why These Related Problems?

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