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Finding the Fourth Proportional to 9,678.34, 14,515.08 and 3,103.12

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Solution

The fourth proportional to 9,678.34, 14,515.08 and 3,103.12 is: 4,653.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.34 : 14,515.08 = 3,103.12 : x
  2. Step 2: Convert to fraction form
    9,678.34/14,515.08 = 3,103.12/x
  3. Step 3: Cross multiply
    9,678.34x = 14,515.08 × 3,103.12
  4. Step 4: Simplify right side
    9,678.34x = 45,042,035.05
  5. Step 5: Solve for x
    x = 45,042,035.05/9,678.34
  6. Step 6: Final answer
    x = 4,653.90

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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.