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Finding the Fourth Proportional to 9,820.85, 14,731.72 and 2,801.34

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Solution

The fourth proportional to 9,820.85, 14,731.72 and 2,801.34 is: 4,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.85 : 14,731.72 = 2,801.34 : x
  2. Step 2: Convert to fraction form
    9,820.85/14,731.72 = 2,801.34/x
  3. Step 3: Cross multiply
    9,820.85x = 14,731.72 × 2,801.34
  4. Step 4: Simplify right side
    9,820.85x = 41,268,549.50
  5. Step 5: Solve for x
    x = 41,268,549.50/9,820.85
  6. Step 6: Final answer
    x = 4,202.14

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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.