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Finding the Fourth Proportional to 7,145.36, 9,857.30 and 4,628.31

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Solution

The fourth proportional to 7,145.36, 9,857.30 and 4,628.31 is: 6,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.36 : 9,857.30 = 4,628.31 : x
  2. Step 2: Convert to fraction form
    7,145.36/9,857.30 = 4,628.31/x
  3. Step 3: Cross multiply
    7,145.36x = 9,857.30 × 4,628.31
  4. Step 4: Simplify right side
    7,145.36x = 45,622,640.16
  5. Step 5: Solve for x
    x = 45,622,640.16/7,145.36
  6. Step 6: Final answer
    x = 6,384.93

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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.