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Finding the Fourth Proportional to 9,538.21, 13,173.79 and 6,346

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Solution

The fourth proportional to 9,538.21, 13,173.79 and 6,346 is: 8,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.21 : 13,173.79 = 6,346 : x
  2. Step 2: Convert to fraction form
    9,538.21/13,173.79 = 6,346/x
  3. Step 3: Cross multiply
    9,538.21x = 13,173.79 × 6,346
  4. Step 4: Simplify right side
    9,538.21x = 83,600,871.34
  5. Step 5: Solve for x
    x = 83,600,871.34/9,538.21
  6. Step 6: Final answer
    x = 8,764.84

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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.