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Finding the Fourth Proportional to 9,854.46, 13,597.92 and 5,874.84

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Solution

The fourth proportional to 9,854.46, 13,597.92 and 5,874.84 is: 8,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.46 : 13,597.92 = 5,874.84 : x
  2. Step 2: Convert to fraction form
    9,854.46/13,597.92 = 5,874.84/x
  3. Step 3: Cross multiply
    9,854.46x = 13,597.92 × 5,874.84
  4. Step 4: Simplify right side
    9,854.46x = 79,885,604.33
  5. Step 5: Solve for x
    x = 79,885,604.33/9,854.46
  6. Step 6: Final answer
    x = 8,106.54

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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.