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Finding the Fourth Proportional to 9,510, 13,123.56 and 5,318.28

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Solution

The fourth proportional to 9,510, 13,123.56 and 5,318.28 is: 7,339.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510 : 13,123.56 = 5,318.28 : x
  2. Step 2: Convert to fraction form
    9,510/13,123.56 = 5,318.28/x
  3. Step 3: Cross multiply
    9,510x = 13,123.56 × 5,318.28
  4. Step 4: Simplify right side
    9,510x = 69,794,766.68
  5. Step 5: Solve for x
    x = 69,794,766.68/9,510
  6. Step 6: Final answer
    x = 7,339.09

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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.