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Finding the Fourth Proportional to 6,832.88, 9,429.72 and 4,038.32

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Solution

The fourth proportional to 6,832.88, 9,429.72 and 4,038.32 is: 5,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.88 : 9,429.72 = 4,038.32 : x
  2. Step 2: Convert to fraction form
    6,832.88/9,429.72 = 4,038.32/x
  3. Step 3: Cross multiply
    6,832.88x = 9,429.72 × 4,038.32
  4. Step 4: Simplify right side
    6,832.88x = 38,080,226.87
  5. Step 5: Solve for x
    x = 38,080,226.87/6,832.88
  6. Step 6: Final answer
    x = 5,573.09

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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.