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Finding the Fourth Proportional to 9,610.47, 13,258.76 and 5,834.25

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Solution

The fourth proportional to 9,610.47, 13,258.76 and 5,834.25 is: 8,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.47 : 13,258.76 = 5,834.25 : x
  2. Step 2: Convert to fraction form
    9,610.47/13,258.76 = 5,834.25/x
  3. Step 3: Cross multiply
    9,610.47x = 13,258.76 × 5,834.25
  4. Step 4: Simplify right side
    9,610.47x = 77,354,891.36
  5. Step 5: Solve for x
    x = 77,354,891.36/9,610.47
  6. Step 6: Final answer
    x = 8,049.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.