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Finding the Fourth Proportional to 9,639.36, 13,302.24 and 5,659.68

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Solution

The fourth proportional to 9,639.36, 13,302.24 and 5,659.68 is: 7,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.36 : 13,302.24 = 5,659.68 : x
  2. Step 2: Convert to fraction form
    9,639.36/13,302.24 = 5,659.68/x
  3. Step 3: Cross multiply
    9,639.36x = 13,302.24 × 5,659.68
  4. Step 4: Simplify right side
    9,639.36x = 75,286,421.68
  5. Step 5: Solve for x
    x = 75,286,421.68/9,639.36
  6. Step 6: Final answer
    x = 7,810.31

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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.