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Finding the Fourth Proportional to 9,148.10, 13,722.21 and 3,304.69

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Solution

The fourth proportional to 9,148.10, 13,722.21 and 3,304.69 is: 4,957.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.10 : 13,722.21 = 3,304.69 : x
  2. Step 2: Convert to fraction form
    9,148.10/13,722.21 = 3,304.69/x
  3. Step 3: Cross multiply
    9,148.10x = 13,722.21 × 3,304.69
  4. Step 4: Simplify right side
    9,148.10x = 45,347,615.86
  5. Step 5: Solve for x
    x = 45,347,615.86/9,148.10
  6. Step 6: Final answer
    x = 4,957.06

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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.