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Finding the Fourth Proportional to 9,684, 14,526.18 and 2,758.68

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Solution

The fourth proportional to 9,684, 14,526.18 and 2,758.68 is: 4,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 14,526.18 = 2,758.68 : x
  2. Step 2: Convert to fraction form
    9,684/14,526.18 = 2,758.68/x
  3. Step 3: Cross multiply
    9,684x = 14,526.18 × 2,758.68
  4. Step 4: Simplify right side
    9,684x = 40,073,082.24
  5. Step 5: Solve for x
    x = 40,073,082.24/9,684
  6. Step 6: Final answer
    x = 4,138.07

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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.