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Finding the Fourth Proportional to 9,086.10, 12,538.86 and 5,309.46

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Solution

The fourth proportional to 9,086.10, 12,538.86 and 5,309.46 is: 7,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.10 : 12,538.86 = 5,309.46 : x
  2. Step 2: Convert to fraction form
    9,086.10/12,538.86 = 5,309.46/x
  3. Step 3: Cross multiply
    9,086.10x = 12,538.86 × 5,309.46
  4. Step 4: Simplify right side
    9,086.10x = 66,574,575.62
  5. Step 5: Solve for x
    x = 66,574,575.62/9,086.10
  6. Step 6: Final answer
    x = 7,327.08

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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.