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Finding the Fourth Proportional to 9,076.94, 13,616.30 and 3,530.74

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Solution

The fourth proportional to 9,076.94, 13,616.30 and 3,530.74 is: 5,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.94 : 13,616.30 = 3,530.74 : x
  2. Step 2: Convert to fraction form
    9,076.94/13,616.30 = 3,530.74/x
  3. Step 3: Cross multiply
    9,076.94x = 13,616.30 × 3,530.74
  4. Step 4: Simplify right side
    9,076.94x = 48,075,615.06
  5. Step 5: Solve for x
    x = 48,075,615.06/9,076.94
  6. Step 6: Final answer
    x = 5,296.46

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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.