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Finding the Fourth Proportional to 9,774.36, 13,490.82 and 8,199.72

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Solution

The fourth proportional to 9,774.36, 13,490.82 and 8,199.72 is: 11,317.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.36 : 13,490.82 = 8,199.72 : x
  2. Step 2: Convert to fraction form
    9,774.36/13,490.82 = 8,199.72/x
  3. Step 3: Cross multiply
    9,774.36x = 13,490.82 × 8,199.72
  4. Step 4: Simplify right side
    9,774.36x = 110,620,946.57
  5. Step 5: Solve for x
    x = 110,620,946.57/9,774.36
  6. Step 6: Final answer
    x = 11,317.46

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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.