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Finding the Fourth Proportional to 9,655.43, 13,319.79 and 6,296.72

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Solution

The fourth proportional to 9,655.43, 13,319.79 and 6,296.72 is: 8,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.43 : 13,319.79 = 6,296.72 : x
  2. Step 2: Convert to fraction form
    9,655.43/13,319.79 = 6,296.72/x
  3. Step 3: Cross multiply
    9,655.43x = 13,319.79 × 6,296.72
  4. Step 4: Simplify right side
    9,655.43x = 83,870,988.09
  5. Step 5: Solve for x
    x = 83,870,988.09/9,655.43
  6. Step 6: Final answer
    x = 8,686.41

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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.