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Finding the Fourth Proportional to 9,047.22, 13,574.10 and 3,853.50

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Solution

The fourth proportional to 9,047.22, 13,574.10 and 3,853.50 is: 5,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.22 : 13,574.10 = 3,853.50 : x
  2. Step 2: Convert to fraction form
    9,047.22/13,574.10 = 3,853.50/x
  3. Step 3: Cross multiply
    9,047.22x = 13,574.10 × 3,853.50
  4. Step 4: Simplify right side
    9,047.22x = 52,307,794.35
  5. Step 5: Solve for x
    x = 52,307,794.35/9,047.22
  6. Step 6: Final answer
    x = 5,781.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.