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Finding the Fourth Proportional to 9,755.72, 13,463.06 and 5,564.04

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Solution

The fourth proportional to 9,755.72, 13,463.06 and 5,564.04 is: 7,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.72 : 13,463.06 = 5,564.04 : x
  2. Step 2: Convert to fraction form
    9,755.72/13,463.06 = 5,564.04/x
  3. Step 3: Cross multiply
    9,755.72x = 13,463.06 × 5,564.04
  4. Step 4: Simplify right side
    9,755.72x = 74,909,004.36
  5. Step 5: Solve for x
    x = 74,909,004.36/9,755.72
  6. Step 6: Final answer
    x = 7,678.47

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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.