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Finding the Fourth Proportional to 9,564.60, 13,217.40 and 7,202.64

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Solution

The fourth proportional to 9,564.60, 13,217.40 and 7,202.64 is: 9,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.60 : 13,217.40 = 7,202.64 : x
  2. Step 2: Convert to fraction form
    9,564.60/13,217.40 = 7,202.64/x
  3. Step 3: Cross multiply
    9,564.60x = 13,217.40 × 7,202.64
  4. Step 4: Simplify right side
    9,564.60x = 95,200,173.94
  5. Step 5: Solve for x
    x = 95,200,173.94/9,564.60
  6. Step 6: Final answer
    x = 9,953.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.