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Finding the Fourth Proportional to 9,628.94, 13,288.16 and 5,652.92

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Solution

The fourth proportional to 9,628.94, 13,288.16 and 5,652.92 is: 7,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.94 : 13,288.16 = 5,652.92 : x
  2. Step 2: Convert to fraction form
    9,628.94/13,288.16 = 5,652.92/x
  3. Step 3: Cross multiply
    9,628.94x = 13,288.16 × 5,652.92
  4. Step 4: Simplify right side
    9,628.94x = 75,116,905.43
  5. Step 5: Solve for x
    x = 75,116,905.43/9,628.94
  6. Step 6: Final answer
    x = 7,801.16

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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.