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Finding the Fourth Proportional to 9,705.86, 14,558.82 and 3,862.44

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Solution

The fourth proportional to 9,705.86, 14,558.82 and 3,862.44 is: 5,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.86 : 14,558.82 = 3,862.44 : x
  2. Step 2: Convert to fraction form
    9,705.86/14,558.82 = 3,862.44/x
  3. Step 3: Cross multiply
    9,705.86x = 14,558.82 × 3,862.44
  4. Step 4: Simplify right side
    9,705.86x = 56,232,568.72
  5. Step 5: Solve for x
    x = 56,232,568.72/9,705.86
  6. Step 6: Final answer
    x = 5,793.67

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