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Finding the Fourth Proportional to 9,856.69, 14,784.49 and 4,018.21

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Solution

The fourth proportional to 9,856.69, 14,784.49 and 4,018.21 is: 6,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.69 : 14,784.49 = 4,018.21 : x
  2. Step 2: Convert to fraction form
    9,856.69/14,784.49 = 4,018.21/x
  3. Step 3: Cross multiply
    9,856.69x = 14,784.49 × 4,018.21
  4. Step 4: Simplify right side
    9,856.69x = 59,407,153.62
  5. Step 5: Solve for x
    x = 59,407,153.62/9,856.69
  6. Step 6: Final answer
    x = 6,027.09

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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.