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Finding the Fourth Proportional to 9,074.16, 12,506.40 and 8,821.44

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Solution

The fourth proportional to 9,074.16, 12,506.40 and 8,821.44 is: 12,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.16 : 12,506.40 = 8,821.44 : x
  2. Step 2: Convert to fraction form
    9,074.16/12,506.40 = 8,821.44/x
  3. Step 3: Cross multiply
    9,074.16x = 12,506.40 × 8,821.44
  4. Step 4: Simplify right side
    9,074.16x = 110,324,457.22
  5. Step 5: Solve for x
    x = 110,324,457.22/9,074.16
  6. Step 6: Final answer
    x = 12,158.09

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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.