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Finding the Fourth Proportional to 9,194.60, 13,800.56 and 6,564.73

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Solution

The fourth proportional to 9,194.60, 13,800.56 and 6,564.73 is: 9,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.60 : 13,800.56 = 6,564.73 : x
  2. Step 2: Convert to fraction form
    9,194.60/13,800.56 = 6,564.73/x
  3. Step 3: Cross multiply
    9,194.60x = 13,800.56 × 6,564.73
  4. Step 4: Simplify right side
    9,194.60x = 90,596,950.25
  5. Step 5: Solve for x
    x = 90,596,950.25/9,194.60
  6. Step 6: Final answer
    x = 9,853.28

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