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Finding the Fourth Proportional to 9,538.58, 13,157.43 and 6,308.39

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Solution

The fourth proportional to 9,538.58, 13,157.43 and 6,308.39 is: 8,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.58 : 13,157.43 = 6,308.39 : x
  2. Step 2: Convert to fraction form
    9,538.58/13,157.43 = 6,308.39/x
  3. Step 3: Cross multiply
    9,538.58x = 13,157.43 × 6,308.39
  4. Step 4: Simplify right side
    9,538.58x = 83,002,199.84
  5. Step 5: Solve for x
    x = 83,002,199.84/9,538.58
  6. Step 6: Final answer
    x = 8,701.74

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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.