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Finding the Fourth Proportional to 9,771.25, 13,484.15 and 5,522.22

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Solution

The fourth proportional to 9,771.25, 13,484.15 and 5,522.22 is: 7,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.25 : 13,484.15 = 5,522.22 : x
  2. Step 2: Convert to fraction form
    9,771.25/13,484.15 = 5,522.22/x
  3. Step 3: Cross multiply
    9,771.25x = 13,484.15 × 5,522.22
  4. Step 4: Simplify right side
    9,771.25x = 74,462,442.81
  5. Step 5: Solve for x
    x = 74,462,442.81/9,771.25
  6. Step 6: Final answer
    x = 7,620.56

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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.