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Finding the Fourth Proportional to 9,549.48, 14,308.83 and 5,169

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Solution

The fourth proportional to 9,549.48, 14,308.83 and 5,169 is: 7,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.48 : 14,308.83 = 5,169 : x
  2. Step 2: Convert to fraction form
    9,549.48/14,308.83 = 5,169/x
  3. Step 3: Cross multiply
    9,549.48x = 14,308.83 × 5,169
  4. Step 4: Simplify right side
    9,549.48x = 73,962,342.27
  5. Step 5: Solve for x
    x = 73,962,342.27/9,549.48
  6. Step 6: Final answer
    x = 7,745.17

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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.