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Finding the Fourth Proportional to 6,925.14, 10,334.72 and 6,186.42

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Solution

The fourth proportional to 6,925.14, 10,334.72 and 6,186.42 is: 9,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.14 : 10,334.72 = 6,186.42 : x
  2. Step 2: Convert to fraction form
    6,925.14/10,334.72 = 6,186.42/x
  3. Step 3: Cross multiply
    6,925.14x = 10,334.72 × 6,186.42
  4. Step 4: Simplify right side
    6,925.14x = 63,934,918.50
  5. Step 5: Solve for x
    x = 63,934,918.50/6,925.14
  6. Step 6: Final answer
    x = 9,232.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.