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Finding the Fourth Proportional to 6,438.53, 9,657.18 and 2,056.02

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Solution

The fourth proportional to 6,438.53, 9,657.18 and 2,056.02 is: 3,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.53 : 9,657.18 = 2,056.02 : x
  2. Step 2: Convert to fraction form
    6,438.53/9,657.18 = 2,056.02/x
  3. Step 3: Cross multiply
    6,438.53x = 9,657.18 × 2,056.02
  4. Step 4: Simplify right side
    6,438.53x = 19,855,355.22
  5. Step 5: Solve for x
    x = 19,855,355.22/6,438.53
  6. Step 6: Final answer
    x = 3,083.84

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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.