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Finding the Fourth Proportional to 9,893.17, 13,652.04 and 5,416.03

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Solution

The fourth proportional to 9,893.17, 13,652.04 and 5,416.03 is: 7,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.17 : 13,652.04 = 5,416.03 : x
  2. Step 2: Convert to fraction form
    9,893.17/13,652.04 = 5,416.03/x
  3. Step 3: Cross multiply
    9,893.17x = 13,652.04 × 5,416.03
  4. Step 4: Simplify right side
    9,893.17x = 73,939,858.20
  5. Step 5: Solve for x
    x = 73,939,858.20/9,893.17
  6. Step 6: Final answer
    x = 7,473.83

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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.