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Finding the Fourth Proportional to 9,148.60, 13,722.90 and 3,305.40

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Solution

The fourth proportional to 9,148.60, 13,722.90 and 3,305.40 is: 4,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.60 : 13,722.90 = 3,305.40 : x
  2. Step 2: Convert to fraction form
    9,148.60/13,722.90 = 3,305.40/x
  3. Step 3: Cross multiply
    9,148.60x = 13,722.90 × 3,305.40
  4. Step 4: Simplify right side
    9,148.60x = 45,359,673.66
  5. Step 5: Solve for x
    x = 45,359,673.66/9,148.60
  6. Step 6: Final answer
    x = 4,958.10

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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.