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Finding the Fourth Proportional to 9,692.28, 14,535.36 and 3,117

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Solution

The fourth proportional to 9,692.28, 14,535.36 and 3,117 is: 4,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.28 : 14,535.36 = 3,117 : x
  2. Step 2: Convert to fraction form
    9,692.28/14,535.36 = 3,117/x
  3. Step 3: Cross multiply
    9,692.28x = 14,535.36 × 3,117
  4. Step 4: Simplify right side
    9,692.28x = 45,306,717.12
  5. Step 5: Solve for x
    x = 45,306,717.12/9,692.28
  6. Step 6: Final answer
    x = 4,674.52

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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.