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Finding the Fourth Proportional to 9,890.84, 13,649.06 and 5,857.86

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Solution

The fourth proportional to 9,890.84, 13,649.06 and 5,857.86 is: 8,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.84 : 13,649.06 = 5,857.86 : x
  2. Step 2: Convert to fraction form
    9,890.84/13,649.06 = 5,857.86/x
  3. Step 3: Cross multiply
    9,890.84x = 13,649.06 × 5,857.86
  4. Step 4: Simplify right side
    9,890.84x = 79,954,282.61
  5. Step 5: Solve for x
    x = 79,954,282.61/9,890.84
  6. Step 6: Final answer
    x = 8,083.67

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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.