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Finding the Fourth Proportional to 9,820.59, 14,731.11 and 2,801.23

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Solution

The fourth proportional to 9,820.59, 14,731.11 and 2,801.23 is: 4,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.59 : 14,731.11 = 2,801.23 : x
  2. Step 2: Convert to fraction form
    9,820.59/14,731.11 = 2,801.23/x
  3. Step 3: Cross multiply
    9,820.59x = 14,731.11 × 2,801.23
  4. Step 4: Simplify right side
    9,820.59x = 41,265,139.60
  5. Step 5: Solve for x
    x = 41,265,139.60/9,820.59
  6. Step 6: Final answer
    x = 4,201.90

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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.