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Finding the Fourth Proportional to 9,735.96, 14,580.56 and 5,563.32

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Solution

The fourth proportional to 9,735.96, 14,580.56 and 5,563.32 is: 8,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.96 : 14,580.56 = 5,563.32 : x
  2. Step 2: Convert to fraction form
    9,735.96/14,580.56 = 5,563.32/x
  3. Step 3: Cross multiply
    9,735.96x = 14,580.56 × 5,563.32
  4. Step 4: Simplify right side
    9,735.96x = 81,116,321.06
  5. Step 5: Solve for x
    x = 81,116,321.06/9,735.96
  6. Step 6: Final answer
    x = 8,331.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.