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Finding the Fourth Proportional to 9,703.56, 14,558.58 and 3,858.60

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Solution

The fourth proportional to 9,703.56, 14,558.58 and 3,858.60 is: 5,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.56 : 14,558.58 = 3,858.60 : x
  2. Step 2: Convert to fraction form
    9,703.56/14,558.58 = 3,858.60/x
  3. Step 3: Cross multiply
    9,703.56x = 14,558.58 × 3,858.60
  4. Step 4: Simplify right side
    9,703.56x = 56,175,736.79
  5. Step 5: Solve for x
    x = 56,175,736.79/9,703.56
  6. Step 6: Final answer
    x = 5,789.19

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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.