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Finding the Fourth Proportional to 9,137.90, 12,610.52 and 5,159.01

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Solution

The fourth proportional to 9,137.90, 12,610.52 and 5,159.01 is: 7,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.90 : 12,610.52 = 5,159.01 : x
  2. Step 2: Convert to fraction form
    9,137.90/12,610.52 = 5,159.01/x
  3. Step 3: Cross multiply
    9,137.90x = 12,610.52 × 5,159.01
  4. Step 4: Simplify right side
    9,137.90x = 65,057,820.28
  5. Step 5: Solve for x
    x = 65,057,820.28/9,137.90
  6. Step 6: Final answer
    x = 7,119.56

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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.