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Finding the Fourth Proportional to 9,291.60, 12,822.84 and 5,311.68

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Solution

The fourth proportional to 9,291.60, 12,822.84 and 5,311.68 is: 7,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.60 : 12,822.84 = 5,311.68 : x
  2. Step 2: Convert to fraction form
    9,291.60/12,822.84 = 5,311.68/x
  3. Step 3: Cross multiply
    9,291.60x = 12,822.84 × 5,311.68
  4. Step 4: Simplify right side
    9,291.60x = 68,110,822.77
  5. Step 5: Solve for x
    x = 68,110,822.77/9,291.60
  6. Step 6: Final answer
    x = 7,330.37

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