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Finding the Fourth Proportional to 9,936.74, 13,708.76 and 6,402

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Solution

The fourth proportional to 9,936.74, 13,708.76 and 6,402 is: 8,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.74 : 13,708.76 = 6,402 : x
  2. Step 2: Convert to fraction form
    9,936.74/13,708.76 = 6,402/x
  3. Step 3: Cross multiply
    9,936.74x = 13,708.76 × 6,402
  4. Step 4: Simplify right side
    9,936.74x = 87,763,449.51
  5. Step 5: Solve for x
    x = 87,763,449.51/9,936.74
  6. Step 6: Final answer
    x = 8,832.22

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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.