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Finding the Fourth Proportional to 7,041.25, 9,717.06 and 3,897.37

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Solution

The fourth proportional to 7,041.25, 9,717.06 and 3,897.37 is: 5,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.25 : 9,717.06 = 3,897.37 : x
  2. Step 2: Convert to fraction form
    7,041.25/9,717.06 = 3,897.37/x
  3. Step 3: Cross multiply
    7,041.25x = 9,717.06 × 3,897.37
  4. Step 4: Simplify right side
    7,041.25x = 37,870,978.13
  5. Step 5: Solve for x
    x = 37,870,978.13/7,041.25
  6. Step 6: Final answer
    x = 5,378.45

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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.