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Finding the Fourth Proportional to 9,678.63, 14,518.31 and 3,015.83

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Solution

The fourth proportional to 9,678.63, 14,518.31 and 3,015.83 is: 4,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.63 : 14,518.31 = 3,015.83 : x
  2. Step 2: Convert to fraction form
    9,678.63/14,518.31 = 3,015.83/x
  3. Step 3: Cross multiply
    9,678.63x = 14,518.31 × 3,015.83
  4. Step 4: Simplify right side
    9,678.63x = 43,784,667.18
  5. Step 5: Solve for x
    x = 43,784,667.18/9,678.63
  6. Step 6: Final answer
    x = 4,523.85

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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.