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Finding the Fourth Proportional to 6,164.12, 9,246.18 and 5,237.48

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Solution

The fourth proportional to 6,164.12, 9,246.18 and 5,237.48 is: 7,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.12 : 9,246.18 = 5,237.48 : x
  2. Step 2: Convert to fraction form
    6,164.12/9,246.18 = 5,237.48/x
  3. Step 3: Cross multiply
    6,164.12x = 9,246.18 × 5,237.48
  4. Step 4: Simplify right side
    6,164.12x = 48,426,636.60
  5. Step 5: Solve for x
    x = 48,426,636.60/6,164.12
  6. Step 6: Final answer
    x = 7,856.22

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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.