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Finding the Fourth Proportional to 6,415.49, 9,623.21 and 5,125.16

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Solution

The fourth proportional to 6,415.49, 9,623.21 and 5,125.16 is: 7,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.49 : 9,623.21 = 5,125.16 : x
  2. Step 2: Convert to fraction form
    6,415.49/9,623.21 = 5,125.16/x
  3. Step 3: Cross multiply
    6,415.49x = 9,623.21 × 5,125.16
  4. Step 4: Simplify right side
    6,415.49x = 49,320,417.22
  5. Step 5: Solve for x
    x = 49,320,417.22/6,415.49
  6. Step 6: Final answer
    x = 7,687.71

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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.