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Finding the Fourth Proportional to 9,926.13, 14,892.84 and 4,083.20

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Solution

The fourth proportional to 9,926.13, 14,892.84 and 4,083.20 is: 6,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.13 : 14,892.84 = 4,083.20 : x
  2. Step 2: Convert to fraction form
    9,926.13/14,892.84 = 4,083.20/x
  3. Step 3: Cross multiply
    9,926.13x = 14,892.84 × 4,083.20
  4. Step 4: Simplify right side
    9,926.13x = 60,810,444.29
  5. Step 5: Solve for x
    x = 60,810,444.29/9,926.13
  6. Step 6: Final answer
    x = 6,126.30

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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.