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Finding the Fourth Proportional to 9,489.96, 13,095.27 and 5,947.02

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Solution

The fourth proportional to 9,489.96, 13,095.27 and 5,947.02 is: 8,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.96 : 13,095.27 = 5,947.02 : x
  2. Step 2: Convert to fraction form
    9,489.96/13,095.27 = 5,947.02/x
  3. Step 3: Cross multiply
    9,489.96x = 13,095.27 × 5,947.02
  4. Step 4: Simplify right side
    9,489.96x = 77,877,832.60
  5. Step 5: Solve for x
    x = 77,877,832.60/9,489.96
  6. Step 6: Final answer
    x = 8,206.34

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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.