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Finding the Fourth Proportional to 9,468.12, 14,200.56 and 2,541

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Solution

The fourth proportional to 9,468.12, 14,200.56 and 2,541 is: 3,811.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.12 : 14,200.56 = 2,541 : x
  2. Step 2: Convert to fraction form
    9,468.12/14,200.56 = 2,541/x
  3. Step 3: Cross multiply
    9,468.12x = 14,200.56 × 2,541
  4. Step 4: Simplify right side
    9,468.12x = 36,083,622.96
  5. Step 5: Solve for x
    x = 36,083,622.96/9,468.12
  6. Step 6: Final answer
    x = 3,811.07

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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.