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Finding the Fourth Proportional to 6,646.52, 9,172.37 and 3,814.13

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Solution

The fourth proportional to 6,646.52, 9,172.37 and 3,814.13 is: 5,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.52 : 9,172.37 = 3,814.13 : x
  2. Step 2: Convert to fraction form
    6,646.52/9,172.37 = 3,814.13/x
  3. Step 3: Cross multiply
    6,646.52x = 9,172.37 × 3,814.13
  4. Step 4: Simplify right side
    6,646.52x = 34,984,611.59
  5. Step 5: Solve for x
    x = 34,984,611.59/6,646.52
  6. Step 6: Final answer
    x = 5,263.60

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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.