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Finding the Fourth Proportional to 9,257.04, 13,885.68 and 4,326

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Solution

The fourth proportional to 9,257.04, 13,885.68 and 4,326 is: 6,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.04 : 13,885.68 = 4,326 : x
  2. Step 2: Convert to fraction form
    9,257.04/13,885.68 = 4,326/x
  3. Step 3: Cross multiply
    9,257.04x = 13,885.68 × 4,326
  4. Step 4: Simplify right side
    9,257.04x = 60,069,451.68
  5. Step 5: Solve for x
    x = 60,069,451.68/9,257.04
  6. Step 6: Final answer
    x = 6,489.06

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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.