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Finding the Fourth Proportional to 9,686.84, 13,365.65 and 5,708.32

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Solution

The fourth proportional to 9,686.84, 13,365.65 and 5,708.32 is: 7,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.84 : 13,365.65 = 5,708.32 : x
  2. Step 2: Convert to fraction form
    9,686.84/13,365.65 = 5,708.32/x
  3. Step 3: Cross multiply
    9,686.84x = 13,365.65 × 5,708.32
  4. Step 4: Simplify right side
    9,686.84x = 76,295,388.06
  5. Step 5: Solve for x
    x = 76,295,388.06/9,686.84
  6. Step 6: Final answer
    x = 7,876.19

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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.