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Finding the Fourth Proportional to 9,554.63, 13,185.38 and 5,364.23

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Solution

The fourth proportional to 9,554.63, 13,185.38 and 5,364.23 is: 7,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.63 : 13,185.38 = 5,364.23 : x
  2. Step 2: Convert to fraction form
    9,554.63/13,185.38 = 5,364.23/x
  3. Step 3: Cross multiply
    9,554.63x = 13,185.38 × 5,364.23
  4. Step 4: Simplify right side
    9,554.63x = 70,729,358.44
  5. Step 5: Solve for x
    x = 70,729,358.44/9,554.63
  6. Step 6: Final answer
    x = 7,402.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.