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Finding the Fourth Proportional to 9,625.63, 13,283.36 and 5,209.63

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Solution

The fourth proportional to 9,625.63, 13,283.36 and 5,209.63 is: 7,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.63 : 13,283.36 = 5,209.63 : x
  2. Step 2: Convert to fraction form
    9,625.63/13,283.36 = 5,209.63/x
  3. Step 3: Cross multiply
    9,625.63x = 13,283.36 × 5,209.63
  4. Step 4: Simplify right side
    9,625.63x = 69,201,390.76
  5. Step 5: Solve for x
    x = 69,201,390.76/9,625.63
  6. Step 6: Final answer
    x = 7,189.28

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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.