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Finding the Fourth Proportional to 9,410.94, 12,986.73 and 5,219.10

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Solution

The fourth proportional to 9,410.94, 12,986.73 and 5,219.10 is: 7,202.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.94 : 12,986.73 = 5,219.10 : x
  2. Step 2: Convert to fraction form
    9,410.94/12,986.73 = 5,219.10/x
  3. Step 3: Cross multiply
    9,410.94x = 12,986.73 × 5,219.10
  4. Step 4: Simplify right side
    9,410.94x = 67,779,042.54
  5. Step 5: Solve for x
    x = 67,779,042.54/9,410.94
  6. Step 6: Final answer
    x = 7,202.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.