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Finding the Fourth Proportional to 9,866.08, 14,795.47 and 4,019.50

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Solution

The fourth proportional to 9,866.08, 14,795.47 and 4,019.50 is: 6,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.08 : 14,795.47 = 4,019.50 : x
  2. Step 2: Convert to fraction form
    9,866.08/14,795.47 = 4,019.50/x
  3. Step 3: Cross multiply
    9,866.08x = 14,795.47 × 4,019.50
  4. Step 4: Simplify right side
    9,866.08x = 59,470,391.67
  5. Step 5: Solve for x
    x = 59,470,391.67/9,866.08
  6. Step 6: Final answer
    x = 6,027.76

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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.