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Finding the Fourth Proportional to 10,426.10, 14,394.76 and 9,305.12

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Solution

The fourth proportional to 10,426.10, 14,394.76 and 9,305.12 is: 12,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426.10 : 14,394.76 = 9,305.12 : x
  2. Step 2: Convert to fraction form
    10,426.10/14,394.76 = 9,305.12/x
  3. Step 3: Cross multiply
    10,426.10x = 14,394.76 × 9,305.12
  4. Step 4: Simplify right side
    10,426.10x = 133,944,969.17
  5. Step 5: Solve for x
    x = 133,944,969.17/10,426.10
  6. Step 6: Final answer
    x = 12,847.08

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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.