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Finding the Fourth Proportional to 9,145.90, 13,725.67 and 6,177.32

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Solution

The fourth proportional to 9,145.90, 13,725.67 and 6,177.32 is: 9,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.90 : 13,725.67 = 6,177.32 : x
  2. Step 2: Convert to fraction form
    9,145.90/13,725.67 = 6,177.32/x
  3. Step 3: Cross multiply
    9,145.90x = 13,725.67 × 6,177.32
  4. Step 4: Simplify right side
    9,145.90x = 84,787,855.80
  5. Step 5: Solve for x
    x = 84,787,855.80/9,145.90
  6. Step 6: Final answer
    x = 9,270.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.