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Finding the Fourth Proportional to 9,746.66, 13,450.38 and 5,270.44

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Solution

The fourth proportional to 9,746.66, 13,450.38 and 5,270.44 is: 7,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.66 : 13,450.38 = 5,270.44 : x
  2. Step 2: Convert to fraction form
    9,746.66/13,450.38 = 5,270.44/x
  3. Step 3: Cross multiply
    9,746.66x = 13,450.38 × 5,270.44
  4. Step 4: Simplify right side
    9,746.66x = 70,889,420.77
  5. Step 5: Solve for x
    x = 70,889,420.77/9,746.66
  6. Step 6: Final answer
    x = 7,273.20

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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.