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Finding the Fourth Proportional to 9,232.18, 12,735.18 and 5,692.90

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Solution

The fourth proportional to 9,232.18, 12,735.18 and 5,692.90 is: 7,852.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.18 : 12,735.18 = 5,692.90 : x
  2. Step 2: Convert to fraction form
    9,232.18/12,735.18 = 5,692.90/x
  3. Step 3: Cross multiply
    9,232.18x = 12,735.18 × 5,692.90
  4. Step 4: Simplify right side
    9,232.18x = 72,500,106.22
  5. Step 5: Solve for x
    x = 72,500,106.22/9,232.18
  6. Step 6: Final answer
    x = 7,852.98

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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.