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Finding the Fourth Proportional to 9,707.79, 13,382.64 and 6,866.31

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Solution

The fourth proportional to 9,707.79, 13,382.64 and 6,866.31 is: 9,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.79 : 13,382.64 = 6,866.31 : x
  2. Step 2: Convert to fraction form
    9,707.79/13,382.64 = 6,866.31/x
  3. Step 3: Cross multiply
    9,707.79x = 13,382.64 × 6,866.31
  4. Step 4: Simplify right side
    9,707.79x = 91,889,354.86
  5. Step 5: Solve for x
    x = 91,889,354.86/9,707.79
  6. Step 6: Final answer
    x = 9,465.53

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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.