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Finding the Fourth Proportional to 9,477.92, 14,219.22 and 2,903.78

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Solution

The fourth proportional to 9,477.92, 14,219.22 and 2,903.78 is: 4,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.92 : 14,219.22 = 2,903.78 : x
  2. Step 2: Convert to fraction form
    9,477.92/14,219.22 = 2,903.78/x
  3. Step 3: Cross multiply
    9,477.92x = 14,219.22 × 2,903.78
  4. Step 4: Simplify right side
    9,477.92x = 41,289,486.65
  5. Step 5: Solve for x
    x = 41,289,486.65/9,477.92
  6. Step 6: Final answer
    x = 4,356.39

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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.