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Finding the Fourth Proportional to 6,368.34, 9,542.14 and 3,897.98

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Solution

The fourth proportional to 6,368.34, 9,542.14 and 3,897.98 is: 5,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.34 : 9,542.14 = 3,897.98 : x
  2. Step 2: Convert to fraction form
    6,368.34/9,542.14 = 3,897.98/x
  3. Step 3: Cross multiply
    6,368.34x = 9,542.14 × 3,897.98
  4. Step 4: Simplify right side
    6,368.34x = 37,195,070.88
  5. Step 5: Solve for x
    x = 37,195,070.88/6,368.34
  6. Step 6: Final answer
    x = 5,840.62

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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.