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Finding the Fourth Proportional to 6,436.49, 9,655.43 and 2,052.95

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Solution

The fourth proportional to 6,436.49, 9,655.43 and 2,052.95 is: 3,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.49 : 9,655.43 = 2,052.95 : x
  2. Step 2: Convert to fraction form
    6,436.49/9,655.43 = 2,052.95/x
  3. Step 3: Cross multiply
    6,436.49x = 9,655.43 × 2,052.95
  4. Step 4: Simplify right side
    6,436.49x = 19,822,056.48
  5. Step 5: Solve for x
    x = 19,822,056.48/6,436.49
  6. Step 6: Final answer
    x = 3,079.64

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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.