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Finding the Fourth Proportional to 9,114.61, 12,577.93 and 5,135.49

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Solution

The fourth proportional to 9,114.61, 12,577.93 and 5,135.49 is: 7,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.61 : 12,577.93 = 5,135.49 : x
  2. Step 2: Convert to fraction form
    9,114.61/12,577.93 = 5,135.49/x
  3. Step 3: Cross multiply
    9,114.61x = 12,577.93 × 5,135.49
  4. Step 4: Simplify right side
    9,114.61x = 64,593,833.74
  5. Step 5: Solve for x
    x = 64,593,833.74/9,114.61
  6. Step 6: Final answer
    x = 7,086.85

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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.