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Finding the Fourth Proportional to 6,422.84, 9,627.66 and 3,085.16

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Solution

The fourth proportional to 6,422.84, 9,627.66 and 3,085.16 is: 4,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.84 : 9,627.66 = 3,085.16 : x
  2. Step 2: Convert to fraction form
    6,422.84/9,627.66 = 3,085.16/x
  3. Step 3: Cross multiply
    6,422.84x = 9,627.66 × 3,085.16
  4. Step 4: Simplify right side
    6,422.84x = 29,702,871.53
  5. Step 5: Solve for x
    x = 29,702,871.53/6,422.84
  6. Step 6: Final answer
    x = 4,624.57

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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.