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Finding the Fourth Proportional to 30,426.12, 45,639.27 and 9,366

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Solution

The fourth proportional to 30,426.12, 45,639.27 and 9,366 is: 14,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,426.12 : 45,639.27 = 9,366 : x
  2. Step 2: Convert to fraction form
    30,426.12/45,639.27 = 9,366/x
  3. Step 3: Cross multiply
    30,426.12x = 45,639.27 × 9,366
  4. Step 4: Simplify right side
    30,426.12x = 427,457,402.82
  5. Step 5: Solve for x
    x = 427,457,402.82/30,426.12
  6. Step 6: Final answer
    x = 14,049.03

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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.