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Finding the Fourth Proportional to 9,633.74, 13,305.53 and 6,484.46

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Solution

The fourth proportional to 9,633.74, 13,305.53 and 6,484.46 is: 8,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.74 : 13,305.53 = 6,484.46 : x
  2. Step 2: Convert to fraction form
    9,633.74/13,305.53 = 6,484.46/x
  3. Step 3: Cross multiply
    9,633.74x = 13,305.53 × 6,484.46
  4. Step 4: Simplify right side
    9,633.74x = 86,279,177.06
  5. Step 5: Solve for x
    x = 86,279,177.06/9,633.74
  6. Step 6: Final answer
    x = 8,955.94

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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.