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Finding the Fourth Proportional to 9,555.54, 14,234.78 and 9,265.35

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Solution

The fourth proportional to 9,555.54, 14,234.78 and 9,265.35 is: 13,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.54 : 14,234.78 = 9,265.35 : x
  2. Step 2: Convert to fraction form
    9,555.54/14,234.78 = 9,265.35/x
  3. Step 3: Cross multiply
    9,555.54x = 14,234.78 × 9,265.35
  4. Step 4: Simplify right side
    9,555.54x = 131,890,172.55
  5. Step 5: Solve for x
    x = 131,890,172.55/9,555.54
  6. Step 6: Final answer
    x = 13,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.