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Finding the Fourth Proportional to 6,130.57, 9,194.98 and 1,970.03

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Solution

The fourth proportional to 6,130.57, 9,194.98 and 1,970.03 is: 2,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.57 : 9,194.98 = 1,970.03 : x
  2. Step 2: Convert to fraction form
    6,130.57/9,194.98 = 1,970.03/x
  3. Step 3: Cross multiply
    6,130.57x = 9,194.98 × 1,970.03
  4. Step 4: Simplify right side
    6,130.57x = 18,114,376.80
  5. Step 5: Solve for x
    x = 18,114,376.80/6,130.57
  6. Step 6: Final answer
    x = 2,954.76

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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.