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Finding the Fourth Proportional to 9,137.34, 13,704.77 and 2,564.03

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Solution

The fourth proportional to 9,137.34, 13,704.77 and 2,564.03 is: 3,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.34 : 13,704.77 = 2,564.03 : x
  2. Step 2: Convert to fraction form
    9,137.34/13,704.77 = 2,564.03/x
  3. Step 3: Cross multiply
    9,137.34x = 13,704.77 × 2,564.03
  4. Step 4: Simplify right side
    9,137.34x = 35,139,482.10
  5. Step 5: Solve for x
    x = 35,139,482.10/9,137.34
  6. Step 6: Final answer
    x = 3,845.70

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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.