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Finding the Fourth Proportional to 9,549.82, 14,324.82 and 2,975.50

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Solution

The fourth proportional to 9,549.82, 14,324.82 and 2,975.50 is: 4,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.82 : 14,324.82 = 2,975.50 : x
  2. Step 2: Convert to fraction form
    9,549.82/14,324.82 = 2,975.50/x
  3. Step 3: Cross multiply
    9,549.82x = 14,324.82 × 2,975.50
  4. Step 4: Simplify right side
    9,549.82x = 42,623,501.91
  5. Step 5: Solve for x
    x = 42,623,501.91/9,549.82
  6. Step 6: Final answer
    x = 4,463.28

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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.