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Finding the Fourth Proportional to 9,774.36, 13,474.62 and 6,975

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Solution

The fourth proportional to 9,774.36, 13,474.62 and 6,975 is: 9,615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.36 : 13,474.62 = 6,975 : x
  2. Step 2: Convert to fraction form
    9,774.36/13,474.62 = 6,975/x
  3. Step 3: Cross multiply
    9,774.36x = 13,474.62 × 6,975
  4. Step 4: Simplify right side
    9,774.36x = 93,985,474.50
  5. Step 5: Solve for x
    x = 93,985,474.50/9,774.36
  6. Step 6: Final answer
    x = 9,615.51

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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.