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Finding the Fourth Proportional to 9,673.86, 13,345.01 and 6,318.64

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Solution

The fourth proportional to 9,673.86, 13,345.01 and 6,318.64 is: 8,716.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.86 : 13,345.01 = 6,318.64 : x
  2. Step 2: Convert to fraction form
    9,673.86/13,345.01 = 6,318.64/x
  3. Step 3: Cross multiply
    9,673.86x = 13,345.01 × 6,318.64
  4. Step 4: Simplify right side
    9,673.86x = 84,322,215.67
  5. Step 5: Solve for x
    x = 84,322,215.67/9,673.86
  6. Step 6: Final answer
    x = 8,716.51

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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.