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Finding the Fourth Proportional to 9,131.88, 13,698.66 and 2,558.16

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Solution

The fourth proportional to 9,131.88, 13,698.66 and 2,558.16 is: 3,837.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.88 : 13,698.66 = 2,558.16 : x
  2. Step 2: Convert to fraction form
    9,131.88/13,698.66 = 2,558.16/x
  3. Step 3: Cross multiply
    9,131.88x = 13,698.66 × 2,558.16
  4. Step 4: Simplify right side
    9,131.88x = 35,043,364.07
  5. Step 5: Solve for x
    x = 35,043,364.07/9,131.88
  6. Step 6: Final answer
    x = 3,837.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.