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Finding the Fourth Proportional to 9,089.50, 13,626.94 and 5,138.32

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Solution

The fourth proportional to 9,089.50, 13,626.94 and 5,138.32 is: 7,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.50 : 13,626.94 = 5,138.32 : x
  2. Step 2: Convert to fraction form
    9,089.50/13,626.94 = 5,138.32/x
  3. Step 3: Cross multiply
    9,089.50x = 13,626.94 × 5,138.32
  4. Step 4: Simplify right side
    9,089.50x = 70,019,578.34
  5. Step 5: Solve for x
    x = 70,019,578.34/9,089.50
  6. Step 6: Final answer
    x = 7,703.35

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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.