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Finding the Fourth Proportional to 9,145.75, 12,621.14 and 4,954

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Solution

The fourth proportional to 9,145.75, 12,621.14 and 4,954 is: 6,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.75 : 12,621.14 = 4,954 : x
  2. Step 2: Convert to fraction form
    9,145.75/12,621.14 = 4,954/x
  3. Step 3: Cross multiply
    9,145.75x = 12,621.14 × 4,954
  4. Step 4: Simplify right side
    9,145.75x = 62,525,127.56
  5. Step 5: Solve for x
    x = 62,525,127.56/9,145.75
  6. Step 6: Final answer
    x = 6,836.52

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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.