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Finding the Fourth Proportional to 9,609.59, 14,416.43 and 3,035.83

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Solution

The fourth proportional to 9,609.59, 14,416.43 and 3,035.83 is: 4,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.59 : 14,416.43 = 3,035.83 : x
  2. Step 2: Convert to fraction form
    9,609.59/14,416.43 = 3,035.83/x
  3. Step 3: Cross multiply
    9,609.59x = 14,416.43 × 3,035.83
  4. Step 4: Simplify right side
    9,609.59x = 43,765,823.57
  5. Step 5: Solve for x
    x = 43,765,823.57/9,609.59
  6. Step 6: Final answer
    x = 4,554.39

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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.