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Finding the Fourth Proportional to 9,204.16, 12,701.73 and 5,225.44

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Solution

The fourth proportional to 9,204.16, 12,701.73 and 5,225.44 is: 7,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.16 : 12,701.73 = 5,225.44 : x
  2. Step 2: Convert to fraction form
    9,204.16/12,701.73 = 5,225.44/x
  3. Step 3: Cross multiply
    9,204.16x = 12,701.73 × 5,225.44
  4. Step 4: Simplify right side
    9,204.16x = 66,372,128.01
  5. Step 5: Solve for x
    x = 66,372,128.01/9,204.16
  6. Step 6: Final answer
    x = 7,211.10

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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.