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Finding the Fourth Proportional to 10,692.18, 14,747.18 and 9,482.27

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Solution

The fourth proportional to 10,692.18, 14,747.18 and 9,482.27 is: 13,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.18 : 14,747.18 = 9,482.27 : x
  2. Step 2: Convert to fraction form
    10,692.18/14,747.18 = 9,482.27/x
  3. Step 3: Cross multiply
    10,692.18x = 14,747.18 × 9,482.27
  4. Step 4: Simplify right side
    10,692.18x = 139,836,803.07
  5. Step 5: Solve for x
    x = 139,836,803.07/10,692.18
  6. Step 6: Final answer
    x = 13,078.42

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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.