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Finding the Fourth Proportional to 9,145.89, 12,616.31 and 6,308.26

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Solution

The fourth proportional to 9,145.89, 12,616.31 and 6,308.26 is: 8,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.89 : 12,616.31 = 6,308.26 : x
  2. Step 2: Convert to fraction form
    9,145.89/12,616.31 = 6,308.26/x
  3. Step 3: Cross multiply
    9,145.89x = 12,616.31 × 6,308.26
  4. Step 4: Simplify right side
    9,145.89x = 79,586,947.95
  5. Step 5: Solve for x
    x = 79,586,947.95/9,145.89
  6. Step 6: Final answer
    x = 8,701.94

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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.