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Finding the Fourth Proportional to 6,470.37, 8,926.86 and 3,817.23

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Solution

The fourth proportional to 6,470.37, 8,926.86 and 3,817.23 is: 5,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.37 : 8,926.86 = 3,817.23 : x
  2. Step 2: Convert to fraction form
    6,470.37/8,926.86 = 3,817.23/x
  3. Step 3: Cross multiply
    6,470.37x = 8,926.86 × 3,817.23
  4. Step 4: Simplify right side
    6,470.37x = 34,075,877.80
  5. Step 5: Solve for x
    x = 34,075,877.80/6,470.37
  6. Step 6: Final answer
    x = 5,266.45

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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.