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Finding the Fourth Proportional to 9,114.60, 12,578.04 and 5,135.70

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Solution

The fourth proportional to 9,114.60, 12,578.04 and 5,135.70 is: 7,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.60 : 12,578.04 = 5,135.70 : x
  2. Step 2: Convert to fraction form
    9,114.60/12,578.04 = 5,135.70/x
  3. Step 3: Cross multiply
    9,114.60x = 12,578.04 × 5,135.70
  4. Step 4: Simplify right side
    9,114.60x = 64,597,040.03
  5. Step 5: Solve for x
    x = 64,597,040.03/9,114.60
  6. Step 6: Final answer
    x = 7,087.21

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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.