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Finding the Fourth Proportional to 9,856.88, 14,789.74 and 5,355.32

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Solution

The fourth proportional to 9,856.88, 14,789.74 and 5,355.32 is: 8,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.88 : 14,789.74 = 5,355.32 : x
  2. Step 2: Convert to fraction form
    9,856.88/14,789.74 = 5,355.32/x
  3. Step 3: Cross multiply
    9,856.88x = 14,789.74 × 5,355.32
  4. Step 4: Simplify right side
    9,856.88x = 79,203,790.42
  5. Step 5: Solve for x
    x = 79,203,790.42/9,856.88
  6. Step 6: Final answer
    x = 8,035.38

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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.