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Finding the Fourth Proportional to 9,261.54, 12,782.07 and 6,899.58

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Solution

The fourth proportional to 9,261.54, 12,782.07 and 6,899.58 is: 9,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.54 : 12,782.07 = 6,899.58 : x
  2. Step 2: Convert to fraction form
    9,261.54/12,782.07 = 6,899.58/x
  3. Step 3: Cross multiply
    9,261.54x = 12,782.07 × 6,899.58
  4. Step 4: Simplify right side
    9,261.54x = 88,190,914.53
  5. Step 5: Solve for x
    x = 88,190,914.53/9,261.54
  6. Step 6: Final answer
    x = 9,522.27

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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.