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Finding the Fourth Proportional to 9,427.56, 14,140.03 and 5,218.62

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Solution

The fourth proportional to 9,427.56, 14,140.03 and 5,218.62 is: 7,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.56 : 14,140.03 = 5,218.62 : x
  2. Step 2: Convert to fraction form
    9,427.56/14,140.03 = 5,218.62/x
  3. Step 3: Cross multiply
    9,427.56x = 14,140.03 × 5,218.62
  4. Step 4: Simplify right side
    9,427.56x = 73,791,346.57
  5. Step 5: Solve for x
    x = 73,791,346.57/9,427.56
  6. Step 6: Final answer
    x = 7,827.20

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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.