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Finding the Fourth Proportional to 9,411.84, 12,994.32 and 6,055.92

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Solution

The fourth proportional to 9,411.84, 12,994.32 and 6,055.92 is: 8,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.84 : 12,994.32 = 6,055.92 : x
  2. Step 2: Convert to fraction form
    9,411.84/12,994.32 = 6,055.92/x
  3. Step 3: Cross multiply
    9,411.84x = 12,994.32 × 6,055.92
  4. Step 4: Simplify right side
    9,411.84x = 78,692,562.37
  5. Step 5: Solve for x
    x = 78,692,562.37/9,411.84
  6. Step 6: Final answer
    x = 8,361.02

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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.