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Finding the Fourth Proportional to 9,822.08, 14,719.04 and 7,620.48

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Solution

The fourth proportional to 9,822.08, 14,719.04 and 7,620.48 is: 11,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.08 : 14,719.04 = 7,620.48 : x
  2. Step 2: Convert to fraction form
    9,822.08/14,719.04 = 7,620.48/x
  3. Step 3: Cross multiply
    9,822.08x = 14,719.04 × 7,620.48
  4. Step 4: Simplify right side
    9,822.08x = 112,166,149.94
  5. Step 5: Solve for x
    x = 112,166,149.94/9,822.08
  6. Step 6: Final answer
    x = 11,419.80

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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.