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Finding the Fourth Proportional to 9,692.14, 14,528.98 and 3,113.71

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Solution

The fourth proportional to 9,692.14, 14,528.98 and 3,113.71 is: 4,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.14 : 14,528.98 = 3,113.71 : x
  2. Step 2: Convert to fraction form
    9,692.14/14,528.98 = 3,113.71/x
  3. Step 3: Cross multiply
    9,692.14x = 14,528.98 × 3,113.71
  4. Step 4: Simplify right side
    9,692.14x = 45,238,980.37
  5. Step 5: Solve for x
    x = 45,238,980.37/9,692.14
  6. Step 6: Final answer
    x = 4,667.59

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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.