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Finding the Fourth Proportional to 9,046.14, 13,570.42 and 8,499.39

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Solution

The fourth proportional to 9,046.14, 13,570.42 and 8,499.39 is: 12,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.14 : 13,570.42 = 8,499.39 : x
  2. Step 2: Convert to fraction form
    9,046.14/13,570.42 = 8,499.39/x
  3. Step 3: Cross multiply
    9,046.14x = 13,570.42 × 8,499.39
  4. Step 4: Simplify right side
    9,046.14x = 115,340,292.04
  5. Step 5: Solve for x
    x = 115,340,292.04/9,046.14
  6. Step 6: Final answer
    x = 12,750.22

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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.