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Finding the Fourth Proportional to 6,607.41, 9,897.91 and 3,973.47

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Solution

The fourth proportional to 6,607.41, 9,897.91 and 3,973.47 is: 5,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,607.41 : 9,897.91 = 3,973.47 : x
  2. Step 2: Convert to fraction form
    6,607.41/9,897.91 = 3,973.47/x
  3. Step 3: Cross multiply
    6,607.41x = 9,897.91 × 3,973.47
  4. Step 4: Simplify right side
    6,607.41x = 39,329,028.58
  5. Step 5: Solve for x
    x = 39,329,028.58/6,607.41
  6. Step 6: Final answer
    x = 5,952.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.