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Finding the Fourth Proportional to 9,746.56, 14,627.40 and 3,907

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Solution

The fourth proportional to 9,746.56, 14,627.40 and 3,907 is: 5,863.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.56 : 14,627.40 = 3,907 : x
  2. Step 2: Convert to fraction form
    9,746.56/14,627.40 = 3,907/x
  3. Step 3: Cross multiply
    9,746.56x = 14,627.40 × 3,907
  4. Step 4: Simplify right side
    9,746.56x = 57,149,251.80
  5. Step 5: Solve for x
    x = 57,149,251.80/9,746.56
  6. Step 6: Final answer
    x = 5,863.53

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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.