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Finding the Fourth Proportional to 9,348.87, 13,998.47 and 5,646.09

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Solution

The fourth proportional to 9,348.87, 13,998.47 and 5,646.09 is: 8,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.87 : 13,998.47 = 5,646.09 : x
  2. Step 2: Convert to fraction form
    9,348.87/13,998.47 = 5,646.09/x
  3. Step 3: Cross multiply
    9,348.87x = 13,998.47 × 5,646.09
  4. Step 4: Simplify right side
    9,348.87x = 79,036,593.25
  5. Step 5: Solve for x
    x = 79,036,593.25/9,348.87
  6. Step 6: Final answer
    x = 8,454.13

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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.