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Finding the Fourth Proportional to 9,663.64, 14,496.60 and 3,422.35

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Solution

The fourth proportional to 9,663.64, 14,496.60 and 3,422.35 is: 5,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.64 : 14,496.60 = 3,422.35 : x
  2. Step 2: Convert to fraction form
    9,663.64/14,496.60 = 3,422.35/x
  3. Step 3: Cross multiply
    9,663.64x = 14,496.60 × 3,422.35
  4. Step 4: Simplify right side
    9,663.64x = 49,612,439.01
  5. Step 5: Solve for x
    x = 49,612,439.01/9,663.64
  6. Step 6: Final answer
    x = 5,133.93

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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.