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Finding the Fourth Proportional to 9,484.96, 13,093.67 and 5,505.30

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Solution

The fourth proportional to 9,484.96, 13,093.67 and 5,505.30 is: 7,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.96 : 13,093.67 = 5,505.30 : x
  2. Step 2: Convert to fraction form
    9,484.96/13,093.67 = 5,505.30/x
  3. Step 3: Cross multiply
    9,484.96x = 13,093.67 × 5,505.30
  4. Step 4: Simplify right side
    9,484.96x = 72,084,581.45
  5. Step 5: Solve for x
    x = 72,084,581.45/9,484.96
  6. Step 6: Final answer
    x = 7,599.88

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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.