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Finding the Fourth Proportional to 9,892.64, 13,652.01 and 5,416.32

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Solution

The fourth proportional to 9,892.64, 13,652.01 and 5,416.32 is: 7,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.64 : 13,652.01 = 5,416.32 : x
  2. Step 2: Convert to fraction form
    9,892.64/13,652.01 = 5,416.32/x
  3. Step 3: Cross multiply
    9,892.64x = 13,652.01 × 5,416.32
  4. Step 4: Simplify right side
    9,892.64x = 73,943,654.80
  5. Step 5: Solve for x
    x = 73,943,654.80/9,892.64
  6. Step 6: Final answer
    x = 7,474.61

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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.