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Finding the Fourth Proportional to 9,892.06, 13,651.04 and 5,416.10

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Solution

The fourth proportional to 9,892.06, 13,651.04 and 5,416.10 is: 7,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.06 : 13,651.04 = 5,416.10 : x
  2. Step 2: Convert to fraction form
    9,892.06/13,651.04 = 5,416.10/x
  3. Step 3: Cross multiply
    9,892.06x = 13,651.04 × 5,416.10
  4. Step 4: Simplify right side
    9,892.06x = 73,935,394.22
  5. Step 5: Solve for x
    x = 73,935,394.22/9,892.06
  6. Step 6: Final answer
    x = 7,474.22

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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.