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Finding the Fourth Proportional to 9,735.71, 14,609.24 and 6,408.06

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Solution

The fourth proportional to 9,735.71, 14,609.24 and 6,408.06 is: 9,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.71 : 14,609.24 = 6,408.06 : x
  2. Step 2: Convert to fraction form
    9,735.71/14,609.24 = 6,408.06/x
  3. Step 3: Cross multiply
    9,735.71x = 14,609.24 × 6,408.06
  4. Step 4: Simplify right side
    9,735.71x = 93,616,854.43
  5. Step 5: Solve for x
    x = 93,616,854.43/9,735.71
  6. Step 6: Final answer
    x = 9,615.83

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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.