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Finding the Fourth Proportional to 6,278.46, 9,417.38 and 2,330.49

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Solution

The fourth proportional to 6,278.46, 9,417.38 and 2,330.49 is: 3,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.46 : 9,417.38 = 2,330.49 : x
  2. Step 2: Convert to fraction form
    6,278.46/9,417.38 = 2,330.49/x
  3. Step 3: Cross multiply
    6,278.46x = 9,417.38 × 2,330.49
  4. Step 4: Simplify right side
    6,278.46x = 21,947,062.83
  5. Step 5: Solve for x
    x = 21,947,062.83/6,278.46
  6. Step 6: Final answer
    x = 3,495.61

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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.