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Finding the Fourth Proportional to 12,863.35, 19,298.92 and 6,114.05

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Solution

The fourth proportional to 12,863.35, 19,298.92 and 6,114.05 is: 9,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.35 : 19,298.92 = 6,114.05 : x
  2. Step 2: Convert to fraction form
    12,863.35/19,298.92 = 6,114.05/x
  3. Step 3: Cross multiply
    12,863.35x = 19,298.92 × 6,114.05
  4. Step 4: Simplify right side
    12,863.35x = 117,994,561.83
  5. Step 5: Solve for x
    x = 117,994,561.83/12,863.35
  6. Step 6: Final answer
    x = 9,172.93

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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.