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Finding the Fourth Proportional to 9,385, 14,082.36 and 4,768

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Solution

The fourth proportional to 9,385, 14,082.36 and 4,768 is: 7,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385 : 14,082.36 = 4,768 : x
  2. Step 2: Convert to fraction form
    9,385/14,082.36 = 4,768/x
  3. Step 3: Cross multiply
    9,385x = 14,082.36 × 4,768
  4. Step 4: Simplify right side
    9,385x = 67,144,692.48
  5. Step 5: Solve for x
    x = 67,144,692.48/9,385
  6. Step 6: Final answer
    x = 7,154.47

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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.