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Finding the Fourth Proportional to 9,126.75, 13,690.38 and 2,970.75

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Solution

The fourth proportional to 9,126.75, 13,690.38 and 2,970.75 is: 4,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.75 : 13,690.38 = 2,970.75 : x
  2. Step 2: Convert to fraction form
    9,126.75/13,690.38 = 2,970.75/x
  3. Step 3: Cross multiply
    9,126.75x = 13,690.38 × 2,970.75
  4. Step 4: Simplify right side
    9,126.75x = 40,670,696.39
  5. Step 5: Solve for x
    x = 40,670,696.39/9,126.75
  6. Step 6: Final answer
    x = 4,456.21

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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.