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Finding the Fourth Proportional to 9,656.96, 14,487.68 and 3,734.64

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Solution

The fourth proportional to 9,656.96, 14,487.68 and 3,734.64 is: 5,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.96 : 14,487.68 = 3,734.64 : x
  2. Step 2: Convert to fraction form
    9,656.96/14,487.68 = 3,734.64/x
  3. Step 3: Cross multiply
    9,656.96x = 14,487.68 × 3,734.64
  4. Step 4: Simplify right side
    9,656.96x = 54,106,269.24
  5. Step 5: Solve for x
    x = 54,106,269.24/9,656.96
  6. Step 6: Final answer
    x = 5,602.83

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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.