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Finding the Fourth Proportional to 9,204.13, 12,701.64 and 5,619.07

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Solution

The fourth proportional to 9,204.13, 12,701.64 and 5,619.07 is: 7,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.13 : 12,701.64 = 5,619.07 : x
  2. Step 2: Convert to fraction form
    9,204.13/12,701.64 = 5,619.07/x
  3. Step 3: Cross multiply
    9,204.13x = 12,701.64 × 5,619.07
  4. Step 4: Simplify right side
    9,204.13x = 71,371,441.22
  5. Step 5: Solve for x
    x = 71,371,441.22/9,204.13
  6. Step 6: Final answer
    x = 7,754.28

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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.