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Finding the Fourth Proportional to 9,114.30, 12,577.14 and 5,135.31

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Solution

The fourth proportional to 9,114.30, 12,577.14 and 5,135.31 is: 7,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.30 : 12,577.14 = 5,135.31 : x
  2. Step 2: Convert to fraction form
    9,114.30/12,577.14 = 5,135.31/x
  3. Step 3: Cross multiply
    9,114.30x = 12,577.14 × 5,135.31
  4. Step 4: Simplify right side
    9,114.30x = 64,587,512.81
  5. Step 5: Solve for x
    x = 64,587,512.81/9,114.30
  6. Step 6: Final answer
    x = 7,086.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.