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Finding the Fourth Proportional to 6,412.02, 9,618.03 and 3,491.70

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Solution

The fourth proportional to 6,412.02, 9,618.03 and 3,491.70 is: 5,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.02 : 9,618.03 = 3,491.70 : x
  2. Step 2: Convert to fraction form
    6,412.02/9,618.03 = 3,491.70/x
  3. Step 3: Cross multiply
    6,412.02x = 9,618.03 × 3,491.70
  4. Step 4: Simplify right side
    6,412.02x = 33,583,275.35
  5. Step 5: Solve for x
    x = 33,583,275.35/6,412.02
  6. Step 6: Final answer
    x = 5,237.55

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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.