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Finding the Fourth Proportional to 9,137.88, 13,707.66 and 2,564.16

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Solution

The fourth proportional to 9,137.88, 13,707.66 and 2,564.16 is: 3,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.88 : 13,707.66 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    9,137.88/13,707.66 = 2,564.16/x
  3. Step 3: Cross multiply
    9,137.88x = 13,707.66 × 2,564.16
  4. Step 4: Simplify right side
    9,137.88x = 35,148,633.47
  5. Step 5: Solve for x
    x = 35,148,633.47/9,137.88
  6. Step 6: Final answer
    x = 3,846.48

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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.