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Finding the Fourth Proportional to 9,564.60, 13,197.10 and 5,583.90

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Solution

The fourth proportional to 9,564.60, 13,197.10 and 5,583.90 is: 7,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.60 : 13,197.10 = 5,583.90 : x
  2. Step 2: Convert to fraction form
    9,564.60/13,197.10 = 5,583.90/x
  3. Step 3: Cross multiply
    9,564.60x = 13,197.10 × 5,583.90
  4. Step 4: Simplify right side
    9,564.60x = 73,691,258.77
  5. Step 5: Solve for x
    x = 73,691,258.77/9,564.60
  6. Step 6: Final answer
    x = 7,704.58

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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.