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Finding the Fourth Proportional to 6,832.09, 9,424.88 and 4,594.06

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Solution

The fourth proportional to 6,832.09, 9,424.88 and 4,594.06 is: 6,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.09 : 9,424.88 = 4,594.06 : x
  2. Step 2: Convert to fraction form
    6,832.09/9,424.88 = 4,594.06/x
  3. Step 3: Cross multiply
    6,832.09x = 9,424.88 × 4,594.06
  4. Step 4: Simplify right side
    6,832.09x = 43,298,417.68
  5. Step 5: Solve for x
    x = 43,298,417.68/6,832.09
  6. Step 6: Final answer
    x = 6,337.51

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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.