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Finding the Fourth Proportional to 9,115.51, 12,578.50 and 5,137.33

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Solution

The fourth proportional to 9,115.51, 12,578.50 and 5,137.33 is: 7,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.51 : 12,578.50 = 5,137.33 : x
  2. Step 2: Convert to fraction form
    9,115.51/12,578.50 = 5,137.33/x
  3. Step 3: Cross multiply
    9,115.51x = 12,578.50 × 5,137.33
  4. Step 4: Simplify right side
    9,115.51x = 64,619,905.41
  5. Step 5: Solve for x
    x = 64,619,905.41/9,115.51
  6. Step 6: Final answer
    x = 7,089.01

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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.