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Finding the Fourth Proportional to 9,433.44, 13,017.06 and 5,455.80

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Solution

The fourth proportional to 9,433.44, 13,017.06 and 5,455.80 is: 7,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,433.44 : 13,017.06 = 5,455.80 : x
  2. Step 2: Convert to fraction form
    9,433.44/13,017.06 = 5,455.80/x
  3. Step 3: Cross multiply
    9,433.44x = 13,017.06 × 5,455.80
  4. Step 4: Simplify right side
    9,433.44x = 71,018,475.95
  5. Step 5: Solve for x
    x = 71,018,475.95/9,433.44
  6. Step 6: Final answer
    x = 7,528.38

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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.