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Finding the Fourth Proportional to 9,102.54, 12,561.84 and 5,124.90

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Solution

The fourth proportional to 9,102.54, 12,561.84 and 5,124.90 is: 7,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.54 : 12,561.84 = 5,124.90 : x
  2. Step 2: Convert to fraction form
    9,102.54/12,561.84 = 5,124.90/x
  3. Step 3: Cross multiply
    9,102.54x = 12,561.84 × 5,124.90
  4. Step 4: Simplify right side
    9,102.54x = 64,378,173.82
  5. Step 5: Solve for x
    x = 64,378,173.82/9,102.54
  6. Step 6: Final answer
    x = 7,072.55

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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.