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Finding the Fourth Proportional to 9,595.98, 14,394.78 and 3,022.56

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Solution

The fourth proportional to 9,595.98, 14,394.78 and 3,022.56 is: 4,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.98 : 14,394.78 = 3,022.56 : x
  2. Step 2: Convert to fraction form
    9,595.98/14,394.78 = 3,022.56/x
  3. Step 3: Cross multiply
    9,595.98x = 14,394.78 × 3,022.56
  4. Step 4: Simplify right side
    9,595.98x = 43,509,086.24
  5. Step 5: Solve for x
    x = 43,509,086.24/9,595.98
  6. Step 6: Final answer
    x = 4,534.10

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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.