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Finding the Fourth Proportional to 10,134.56, 14,040.08 and 9,892.64

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Solution

The fourth proportional to 10,134.56, 14,040.08 and 9,892.64 is: 13,704.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.56 : 14,040.08 = 9,892.64 : x
  2. Step 2: Convert to fraction form
    10,134.56/14,040.08 = 9,892.64/x
  3. Step 3: Cross multiply
    10,134.56x = 14,040.08 × 9,892.64
  4. Step 4: Simplify right side
    10,134.56x = 138,893,457.01
  5. Step 5: Solve for x
    x = 138,893,457.01/10,134.56
  6. Step 6: Final answer
    x = 13,704.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.