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Finding the Fourth Proportional to 9,089.21, 12,543.05 and 5,056.09

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Solution

The fourth proportional to 9,089.21, 12,543.05 and 5,056.09 is: 6,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.21 : 12,543.05 = 5,056.09 : x
  2. Step 2: Convert to fraction form
    9,089.21/12,543.05 = 5,056.09/x
  3. Step 3: Cross multiply
    9,089.21x = 12,543.05 × 5,056.09
  4. Step 4: Simplify right side
    9,089.21x = 63,418,770.96
  5. Step 5: Solve for x
    x = 63,418,770.96/9,089.21
  6. Step 6: Final answer
    x = 6,977.37

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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.