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Finding the Fourth Proportional to 9,102.88, 12,559.14 and 5,562.28

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Solution

The fourth proportional to 9,102.88, 12,559.14 and 5,562.28 is: 7,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.88 : 12,559.14 = 5,562.28 : x
  2. Step 2: Convert to fraction form
    9,102.88/12,559.14 = 5,562.28/x
  3. Step 3: Cross multiply
    9,102.88x = 12,559.14 × 5,562.28
  4. Step 4: Simplify right side
    9,102.88x = 69,857,453.24
  5. Step 5: Solve for x
    x = 69,857,453.24/9,102.88
  6. Step 6: Final answer
    x = 7,674.21

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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.