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Finding the Fourth Proportional to 9,621.56, 13,248.14 and 8,202.06

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Solution

The fourth proportional to 9,621.56, 13,248.14 and 8,202.06 is: 11,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.56 : 13,248.14 = 8,202.06 : x
  2. Step 2: Convert to fraction form
    9,621.56/13,248.14 = 8,202.06/x
  3. Step 3: Cross multiply
    9,621.56x = 13,248.14 × 8,202.06
  4. Step 4: Simplify right side
    9,621.56x = 108,662,039.17
  5. Step 5: Solve for x
    x = 108,662,039.17/9,621.56
  6. Step 6: Final answer
    x = 11,293.60

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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.