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Finding the Fourth Proportional to 9,140.26, 13,692.09 and 4,203.16

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Solution

The fourth proportional to 9,140.26, 13,692.09 and 4,203.16 is: 6,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.26 : 13,692.09 = 4,203.16 : x
  2. Step 2: Convert to fraction form
    9,140.26/13,692.09 = 4,203.16/x
  3. Step 3: Cross multiply
    9,140.26x = 13,692.09 × 4,203.16
  4. Step 4: Simplify right side
    9,140.26x = 57,550,045.00
  5. Step 5: Solve for x
    x = 57,550,045.00/9,140.26
  6. Step 6: Final answer
    x = 6,296.32

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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.