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Finding the Fourth Proportional to 9,663.84, 13,338.63 and 5,686.25

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Solution

The fourth proportional to 9,663.84, 13,338.63 and 5,686.25 is: 7,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.84 : 13,338.63 = 5,686.25 : x
  2. Step 2: Convert to fraction form
    9,663.84/13,338.63 = 5,686.25/x
  3. Step 3: Cross multiply
    9,663.84x = 13,338.63 × 5,686.25
  4. Step 4: Simplify right side
    9,663.84x = 75,846,718.14
  5. Step 5: Solve for x
    x = 75,846,718.14/9,663.84
  6. Step 6: Final answer
    x = 7,848.51

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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.