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Finding the Fourth Proportional to 9,608.83, 13,258.16 and 5,833.98

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Solution

The fourth proportional to 9,608.83, 13,258.16 and 5,833.98 is: 8,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.83 : 13,258.16 = 5,833.98 : x
  2. Step 2: Convert to fraction form
    9,608.83/13,258.16 = 5,833.98/x
  3. Step 3: Cross multiply
    9,608.83x = 13,258.16 × 5,833.98
  4. Step 4: Simplify right side
    9,608.83x = 77,347,840.28
  5. Step 5: Solve for x
    x = 77,347,840.28/9,608.83
  6. Step 6: Final answer
    x = 8,049.66

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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.