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Finding the Fourth Proportional to 9,365, 12,918.42 and 6,175.04

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Solution

The fourth proportional to 9,365, 12,918.42 and 6,175.04 is: 8,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365 : 12,918.42 = 6,175.04 : x
  2. Step 2: Convert to fraction form
    9,365/12,918.42 = 6,175.04/x
  3. Step 3: Cross multiply
    9,365x = 12,918.42 × 6,175.04
  4. Step 4: Simplify right side
    9,365x = 79,771,760.24
  5. Step 5: Solve for x
    x = 79,771,760.24/9,365
  6. Step 6: Final answer
    x = 8,518.07

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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.