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Finding the Fourth Proportional to 10,426.64, 14,394.12 and 9,011.12

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Solution

The fourth proportional to 10,426.64, 14,394.12 and 9,011.12 is: 12,439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.64 : 14,394.12 = 9,011.12 : x
  2. Step 2: Convert to fraction form
    10,426.64/14,394.12 = 9,011.12/x
  3. Step 3: Cross multiply
    10,426.64x = 14,394.12 × 9,011.12
  4. Step 4: Simplify right side
    10,426.64x = 129,707,142.61
  5. Step 5: Solve for x
    x = 129,707,142.61/10,426.64
  6. Step 6: Final answer
    x = 12,439.98

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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.