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Finding the Fourth Proportional to 9,826.68, 14,740.02 and 2,431.11

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Solution

The fourth proportional to 9,826.68, 14,740.02 and 2,431.11 is: 3,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.68 : 14,740.02 = 2,431.11 : x
  2. Step 2: Convert to fraction form
    9,826.68/14,740.02 = 2,431.11/x
  3. Step 3: Cross multiply
    9,826.68x = 14,740.02 × 2,431.11
  4. Step 4: Simplify right side
    9,826.68x = 35,834,610.02
  5. Step 5: Solve for x
    x = 35,834,610.02/9,826.68
  6. Step 6: Final answer
    x = 3,646.67

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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.