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Finding the Fourth Proportional to 9,665.44, 13,337.52 and 5,416.16

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Solution

The fourth proportional to 9,665.44, 13,337.52 and 5,416.16 is: 7,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.44 : 13,337.52 = 5,416.16 : x
  2. Step 2: Convert to fraction form
    9,665.44/13,337.52 = 5,416.16/x
  3. Step 3: Cross multiply
    9,665.44x = 13,337.52 × 5,416.16
  4. Step 4: Simplify right side
    9,665.44x = 72,238,142.32
  5. Step 5: Solve for x
    x = 72,238,142.32/9,665.44
  6. Step 6: Final answer
    x = 7,473.86

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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.