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Finding the Fourth Proportional to 9,633.39, 13,295.49 and 5,656.68

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Solution

The fourth proportional to 9,633.39, 13,295.49 and 5,656.68 is: 7,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.39 : 13,295.49 = 5,656.68 : x
  2. Step 2: Convert to fraction form
    9,633.39/13,295.49 = 5,656.68/x
  3. Step 3: Cross multiply
    9,633.39x = 13,295.49 × 5,656.68
  4. Step 4: Simplify right side
    9,633.39x = 75,208,332.37
  5. Step 5: Solve for x
    x = 75,208,332.37/9,633.39
  6. Step 6: Final answer
    x = 7,807.05

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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.