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Finding the Fourth Proportional to 9,419.68, 12,990.42 and 6,056.56

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Solution

The fourth proportional to 9,419.68, 12,990.42 and 6,056.56 is: 8,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.68 : 12,990.42 = 6,056.56 : x
  2. Step 2: Convert to fraction form
    9,419.68/12,990.42 = 6,056.56/x
  3. Step 3: Cross multiply
    9,419.68x = 12,990.42 × 6,056.56
  4. Step 4: Simplify right side
    9,419.68x = 78,677,258.16
  5. Step 5: Solve for x
    x = 78,677,258.16/9,419.68
  6. Step 6: Final answer
    x = 8,352.43

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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.