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Finding the Fourth Proportional to 10,434.78, 14,406.72 and 9,313.83

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Solution

The fourth proportional to 10,434.78, 14,406.72 and 9,313.83 is: 12,859.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.78 : 14,406.72 = 9,313.83 : x
  2. Step 2: Convert to fraction form
    10,434.78/14,406.72 = 9,313.83/x
  3. Step 3: Cross multiply
    10,434.78x = 14,406.72 × 9,313.83
  4. Step 4: Simplify right side
    10,434.78x = 134,181,740.94
  5. Step 5: Solve for x
    x = 134,181,740.94/10,434.78
  6. Step 6: Final answer
    x = 12,859.09

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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.