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Finding the Fourth Proportional to 9,115.06, 13,672.57 and 3,564.51

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Solution

The fourth proportional to 9,115.06, 13,672.57 and 3,564.51 is: 5,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.06 : 13,672.57 = 3,564.51 : x
  2. Step 2: Convert to fraction form
    9,115.06/13,672.57 = 3,564.51/x
  3. Step 3: Cross multiply
    9,115.06x = 13,672.57 × 3,564.51
  4. Step 4: Simplify right side
    9,115.06x = 48,735,946.46
  5. Step 5: Solve for x
    x = 48,735,946.46/9,115.06
  6. Step 6: Final answer
    x = 5,346.75

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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.