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Finding the Fourth Proportional to 6,690.94, 9,233.84 and 4,038.31

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Solution

The fourth proportional to 6,690.94, 9,233.84 and 4,038.31 is: 5,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.94 : 9,233.84 = 4,038.31 : x
  2. Step 2: Convert to fraction form
    6,690.94/9,233.84 = 4,038.31/x
  3. Step 3: Cross multiply
    6,690.94x = 9,233.84 × 4,038.31
  4. Step 4: Simplify right side
    6,690.94x = 37,289,108.41
  5. Step 5: Solve for x
    x = 37,289,108.41/6,690.94
  6. Step 6: Final answer
    x = 5,573.07

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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.