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Finding the Fourth Proportional to 7,086.81, 9,774.45 and 4,692.54

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Solution

The fourth proportional to 7,086.81, 9,774.45 and 4,692.54 is: 6,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.81 : 9,774.45 = 4,692.54 : x
  2. Step 2: Convert to fraction form
    7,086.81/9,774.45 = 4,692.54/x
  3. Step 3: Cross multiply
    7,086.81x = 9,774.45 × 4,692.54
  4. Step 4: Simplify right side
    7,086.81x = 45,866,997.60
  5. Step 5: Solve for x
    x = 45,866,997.60/7,086.81
  6. Step 6: Final answer
    x = 6,472.16

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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.