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Finding the Fourth Proportional to 6,837.72, 9,436.06 and 4,004.58

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Solution

The fourth proportional to 6,837.72, 9,436.06 and 4,004.58 is: 5,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.72 : 9,436.06 = 4,004.58 : x
  2. Step 2: Convert to fraction form
    6,837.72/9,436.06 = 4,004.58/x
  3. Step 3: Cross multiply
    6,837.72x = 9,436.06 × 4,004.58
  4. Step 4: Simplify right side
    6,837.72x = 37,787,457.15
  5. Step 5: Solve for x
    x = 37,787,457.15/6,837.72
  6. Step 6: Final answer
    x = 5,526.32

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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.