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Finding the Fourth Proportional to 9,609.32, 14,411.40 and 3,684.92

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Solution

The fourth proportional to 9,609.32, 14,411.40 and 3,684.92 is: 5,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.32 : 14,411.40 = 3,684.92 : x
  2. Step 2: Convert to fraction form
    9,609.32/14,411.40 = 3,684.92/x
  3. Step 3: Cross multiply
    9,609.32x = 14,411.40 × 3,684.92
  4. Step 4: Simplify right side
    9,609.32x = 53,104,856.09
  5. Step 5: Solve for x
    x = 53,104,856.09/9,609.32
  6. Step 6: Final answer
    x = 5,526.39

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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.