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Finding the Fourth Proportional to 9,086.31, 13,636.76 and 4,705.02

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Solution

The fourth proportional to 9,086.31, 13,636.76 and 4,705.02 is: 7,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.31 : 13,636.76 = 4,705.02 : x
  2. Step 2: Convert to fraction form
    9,086.31/13,636.76 = 4,705.02/x
  3. Step 3: Cross multiply
    9,086.31x = 13,636.76 × 4,705.02
  4. Step 4: Simplify right side
    9,086.31x = 64,161,205.01
  5. Step 5: Solve for x
    x = 64,161,205.01/9,086.31
  6. Step 6: Final answer
    x = 7,061.30

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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.