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Finding the Fourth Proportional to 9,106.74, 13,656.52 and 4,425.36

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Solution

The fourth proportional to 9,106.74, 13,656.52 and 4,425.36 is: 6,636.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.74 : 13,656.52 = 4,425.36 : x
  2. Step 2: Convert to fraction form
    9,106.74/13,656.52 = 4,425.36/x
  3. Step 3: Cross multiply
    9,106.74x = 13,656.52 × 4,425.36
  4. Step 4: Simplify right side
    9,106.74x = 60,435,057.50
  5. Step 5: Solve for x
    x = 60,435,057.50/9,106.74
  6. Step 6: Final answer
    x = 6,636.30

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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.