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Finding the Fourth Proportional to 6,232.08, 9,348.18 and 4,278.36

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Solution

The fourth proportional to 6,232.08, 9,348.18 and 4,278.36 is: 6,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.08 : 9,348.18 = 4,278.36 : x
  2. Step 2: Convert to fraction form
    6,232.08/9,348.18 = 4,278.36/x
  3. Step 3: Cross multiply
    6,232.08x = 9,348.18 × 4,278.36
  4. Step 4: Simplify right side
    6,232.08x = 39,994,879.38
  5. Step 5: Solve for x
    x = 39,994,879.38/6,232.08
  6. Step 6: Final answer
    x = 6,417.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.