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Finding the Fourth Proportional to 6,952.86, 10,420.20 and 6,073.25

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Solution

The fourth proportional to 6,952.86, 10,420.20 and 6,073.25 is: 9,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.86 : 10,420.20 = 6,073.25 : x
  2. Step 2: Convert to fraction form
    6,952.86/10,420.20 = 6,073.25/x
  3. Step 3: Cross multiply
    6,952.86x = 10,420.20 × 6,073.25
  4. Step 4: Simplify right side
    6,952.86x = 63,284,427.55
  5. Step 5: Solve for x
    x = 63,284,427.55/6,952.86
  6. Step 6: Final answer
    x = 9,101.93

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