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Finding the Fourth Proportional to 10,492.50, 15,692.25 and 9,330.64

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Solution

The fourth proportional to 10,492.50, 15,692.25 and 9,330.64 is: 13,954.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.50 : 15,692.25 = 9,330.64 : x
  2. Step 2: Convert to fraction form
    10,492.50/15,692.25 = 9,330.64/x
  3. Step 3: Cross multiply
    10,492.50x = 15,692.25 × 9,330.64
  4. Step 4: Simplify right side
    10,492.50x = 146,418,735.54
  5. Step 5: Solve for x
    x = 146,418,735.54/10,492.50
  6. Step 6: Final answer
    x = 13,954.61

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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.