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Finding the Fourth Proportional to 9,308.94, 12,857.31 and 6,159.66

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Solution

The fourth proportional to 9,308.94, 12,857.31 and 6,159.66 is: 8,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.94 : 12,857.31 = 6,159.66 : x
  2. Step 2: Convert to fraction form
    9,308.94/12,857.31 = 6,159.66/x
  3. Step 3: Cross multiply
    9,308.94x = 12,857.31 × 6,159.66
  4. Step 4: Simplify right side
    9,308.94x = 79,196,627.32
  5. Step 5: Solve for x
    x = 79,196,627.32/9,308.94
  6. Step 6: Final answer
    x = 8,507.59

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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.