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Finding the Fourth Proportional to 9,305.40, 13,958.10 and 5,352.60

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Solution

The fourth proportional to 9,305.40, 13,958.10 and 5,352.60 is: 8,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.40 : 13,958.10 = 5,352.60 : x
  2. Step 2: Convert to fraction form
    9,305.40/13,958.10 = 5,352.60/x
  3. Step 3: Cross multiply
    9,305.40x = 13,958.10 × 5,352.60
  4. Step 4: Simplify right side
    9,305.40x = 74,712,126.06
  5. Step 5: Solve for x
    x = 74,712,126.06/9,305.40
  6. Step 6: Final answer
    x = 8,028.90

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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.