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Finding the Fourth Proportional to 9,261.75, 13,894.74 and 2,688.47

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Solution

The fourth proportional to 9,261.75, 13,894.74 and 2,688.47 is: 4,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.75 : 13,894.74 = 2,688.47 : x
  2. Step 2: Convert to fraction form
    9,261.75/13,894.74 = 2,688.47/x
  3. Step 3: Cross multiply
    9,261.75x = 13,894.74 × 2,688.47
  4. Step 4: Simplify right side
    9,261.75x = 37,355,522.17
  5. Step 5: Solve for x
    x = 37,355,522.17/9,261.75
  6. Step 6: Final answer
    x = 4,033.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.