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Finding the Fourth Proportional to 9,199.58, 13,795.82 and 3,931.23

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Solution

The fourth proportional to 9,199.58, 13,795.82 and 3,931.23 is: 5,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.58 : 13,795.82 = 3,931.23 : x
  2. Step 2: Convert to fraction form
    9,199.58/13,795.82 = 3,931.23/x
  3. Step 3: Cross multiply
    9,199.58x = 13,795.82 × 3,931.23
  4. Step 4: Simplify right side
    9,199.58x = 54,234,588.28
  5. Step 5: Solve for x
    x = 54,234,588.28/9,199.58
  6. Step 6: Final answer
    x = 5,895.34

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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.