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Finding the Fourth Proportional to 9,620.02, 13,275.93 and 5,428.54

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Solution

The fourth proportional to 9,620.02, 13,275.93 and 5,428.54 is: 7,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.02 : 13,275.93 = 5,428.54 : x
  2. Step 2: Convert to fraction form
    9,620.02/13,275.93 = 5,428.54/x
  3. Step 3: Cross multiply
    9,620.02x = 13,275.93 × 5,428.54
  4. Step 4: Simplify right side
    9,620.02x = 72,068,917.04
  5. Step 5: Solve for x
    x = 72,068,917.04/9,620.02
  6. Step 6: Final answer
    x = 7,491.56

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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.