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Finding the Fourth Proportional to 9,745.66, 13,448.06 and 5,497.39

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Solution

The fourth proportional to 9,745.66, 13,448.06 and 5,497.39 is: 7,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.66 : 13,448.06 = 5,497.39 : x
  2. Step 2: Convert to fraction form
    9,745.66/13,448.06 = 5,497.39/x
  3. Step 3: Cross multiply
    9,745.66x = 13,448.06 × 5,497.39
  4. Step 4: Simplify right side
    9,745.66x = 73,929,210.69
  5. Step 5: Solve for x
    x = 73,929,210.69/9,745.66
  6. Step 6: Final answer
    x = 7,585.86

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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.