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Finding the Fourth Proportional to 10,609.45, 14,639.92 and 6,134.62

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Solution

The fourth proportional to 10,609.45, 14,639.92 and 6,134.62 is: 8,465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.45 : 14,639.92 = 6,134.62 : x
  2. Step 2: Convert to fraction form
    10,609.45/14,639.92 = 6,134.62/x
  3. Step 3: Cross multiply
    10,609.45x = 14,639.92 × 6,134.62
  4. Step 4: Simplify right side
    10,609.45x = 89,810,346.03
  5. Step 5: Solve for x
    x = 89,810,346.03/10,609.45
  6. Step 6: Final answer
    x = 8,465.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.