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Finding the Fourth Proportional to 9,773.96, 14,657.28 and 3,928.58

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Solution

The fourth proportional to 9,773.96, 14,657.28 and 3,928.58 is: 5,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.96 : 14,657.28 = 3,928.58 : x
  2. Step 2: Convert to fraction form
    9,773.96/14,657.28 = 3,928.58/x
  3. Step 3: Cross multiply
    9,773.96x = 14,657.28 × 3,928.58
  4. Step 4: Simplify right side
    9,773.96x = 57,582,297.06
  5. Step 5: Solve for x
    x = 57,582,297.06/9,773.96
  6. Step 6: Final answer
    x = 5,891.40

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Why These Related Problems?

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