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Finding the Fourth Proportional to 9,115.35, 12,580.07 and 5,338.28

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Solution

The fourth proportional to 9,115.35, 12,580.07 and 5,338.28 is: 7,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.35 : 12,580.07 = 5,338.28 : x
  2. Step 2: Convert to fraction form
    9,115.35/12,580.07 = 5,338.28/x
  3. Step 3: Cross multiply
    9,115.35x = 12,580.07 × 5,338.28
  4. Step 4: Simplify right side
    9,115.35x = 67,155,936.08
  5. Step 5: Solve for x
    x = 67,155,936.08/9,115.35
  6. Step 6: Final answer
    x = 7,367.35

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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.