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Finding the Fourth Proportional to 9,859.86, 13,606.56 and 5,383.53

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Solution

The fourth proportional to 9,859.86, 13,606.56 and 5,383.53 is: 7,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.86 : 13,606.56 = 5,383.53 : x
  2. Step 2: Convert to fraction form
    9,859.86/13,606.56 = 5,383.53/x
  3. Step 3: Cross multiply
    9,859.86x = 13,606.56 × 5,383.53
  4. Step 4: Simplify right side
    9,859.86x = 73,251,323.96
  5. Step 5: Solve for x
    x = 73,251,323.96/9,859.86
  6. Step 6: Final answer
    x = 7,429.25

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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.