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Finding the Fourth Proportional to 6,921.31, 9,549.94 and 4,402.50

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Solution

The fourth proportional to 6,921.31, 9,549.94 and 4,402.50 is: 6,074.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.31 : 9,549.94 = 4,402.50 : x
  2. Step 2: Convert to fraction form
    6,921.31/9,549.94 = 4,402.50/x
  3. Step 3: Cross multiply
    6,921.31x = 9,549.94 × 4,402.50
  4. Step 4: Simplify right side
    6,921.31x = 42,043,610.85
  5. Step 5: Solve for x
    x = 42,043,610.85/6,921.31
  6. Step 6: Final answer
    x = 6,074.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.