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Finding the Fourth Proportional to 9,308.69, 12,856.96 and 6,159.41

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Solution

The fourth proportional to 9,308.69, 12,856.96 and 6,159.41 is: 8,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.69 : 12,856.96 = 6,159.41 : x
  2. Step 2: Convert to fraction form
    9,308.69/12,856.96 = 6,159.41/x
  3. Step 3: Cross multiply
    9,308.69x = 12,856.96 × 6,159.41
  4. Step 4: Simplify right side
    9,308.69x = 79,191,287.99
  5. Step 5: Solve for x
    x = 79,191,287.99/9,308.69
  6. Step 6: Final answer
    x = 8,507.24

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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.