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Finding the Fourth Proportional to 9,549.44, 14,323.80 and 2,624.16

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Solution

The fourth proportional to 9,549.44, 14,323.80 and 2,624.16 is: 3,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.44 : 14,323.80 = 2,624.16 : x
  2. Step 2: Convert to fraction form
    9,549.44/14,323.80 = 2,624.16/x
  3. Step 3: Cross multiply
    9,549.44x = 14,323.80 × 2,624.16
  4. Step 4: Simplify right side
    9,549.44x = 37,587,943.01
  5. Step 5: Solve for x
    x = 37,587,943.01/9,549.44
  6. Step 6: Final answer
    x = 3,936.14

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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.