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Finding the Fourth Proportional to 9,603.85, 14,405.62 and 5,856.73

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Solution

The fourth proportional to 9,603.85, 14,405.62 and 5,856.73 is: 8,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.85 : 14,405.62 = 5,856.73 : x
  2. Step 2: Convert to fraction form
    9,603.85/14,405.62 = 5,856.73/x
  3. Step 3: Cross multiply
    9,603.85x = 14,405.62 × 5,856.73
  4. Step 4: Simplify right side
    9,603.85x = 84,369,769.44
  5. Step 5: Solve for x
    x = 84,369,769.44/9,603.85
  6. Step 6: Final answer
    x = 8,785.00

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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.