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Finding the Fourth Proportional to 9,811.83, 13,540.14 and 5,335.50

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Solution

The fourth proportional to 9,811.83, 13,540.14 and 5,335.50 is: 7,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.83 : 13,540.14 = 5,335.50 : x
  2. Step 2: Convert to fraction form
    9,811.83/13,540.14 = 5,335.50/x
  3. Step 3: Cross multiply
    9,811.83x = 13,540.14 × 5,335.50
  4. Step 4: Simplify right side
    9,811.83x = 72,243,416.97
  5. Step 5: Solve for x
    x = 72,243,416.97/9,811.83
  6. Step 6: Final answer
    x = 7,362.89

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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.