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Finding the Fourth Proportional to 6,173.72, 9,284.10 and 4,927.16

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Solution

The fourth proportional to 6,173.72, 9,284.10 and 4,927.16 is: 7,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.72 : 9,284.10 = 4,927.16 : x
  2. Step 2: Convert to fraction form
    6,173.72/9,284.10 = 4,927.16/x
  3. Step 3: Cross multiply
    6,173.72x = 9,284.10 × 4,927.16
  4. Step 4: Simplify right side
    6,173.72x = 45,744,246.16
  5. Step 5: Solve for x
    x = 45,744,246.16/6,173.72
  6. Step 6: Final answer
    x = 7,409.51

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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.