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Finding the Fourth Proportional to 6,270.84, 9,409.35 and 4,433.76

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Solution

The fourth proportional to 6,270.84, 9,409.35 and 4,433.76 is: 6,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.84 : 9,409.35 = 4,433.76 : x
  2. Step 2: Convert to fraction form
    6,270.84/9,409.35 = 4,433.76/x
  3. Step 3: Cross multiply
    6,270.84x = 9,409.35 × 4,433.76
  4. Step 4: Simplify right side
    6,270.84x = 41,718,799.66
  5. Step 5: Solve for x
    x = 41,718,799.66/6,270.84
  6. Step 6: Final answer
    x = 6,652.82

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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.