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Finding the Fourth Proportional to 9,659.86, 13,323.29 and 8,317.77

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Solution

The fourth proportional to 9,659.86, 13,323.29 and 8,317.77 is: 11,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.86 : 13,323.29 = 8,317.77 : x
  2. Step 2: Convert to fraction form
    9,659.86/13,323.29 = 8,317.77/x
  3. Step 3: Cross multiply
    9,659.86x = 13,323.29 × 8,317.77
  4. Step 4: Simplify right side
    9,659.86x = 110,819,970.31
  5. Step 5: Solve for x
    x = 110,819,970.31/9,659.86
  6. Step 6: Final answer
    x = 11,472.22

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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.