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Finding the Fourth Proportional to 9,755.84, 13,463.16 and 5,564.36

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Solution

The fourth proportional to 9,755.84, 13,463.16 and 5,564.36 is: 7,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.84 : 13,463.16 = 5,564.36 : x
  2. Step 2: Convert to fraction form
    9,755.84/13,463.16 = 5,564.36/x
  3. Step 3: Cross multiply
    9,755.84x = 13,463.16 × 5,564.36
  4. Step 4: Simplify right side
    9,755.84x = 74,913,868.98
  5. Step 5: Solve for x
    x = 74,913,868.98/9,755.84
  6. Step 6: Final answer
    x = 7,678.87

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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.