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Finding the Fourth Proportional to 9,918.84, 13,683.66 and 6,141

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Solution

The fourth proportional to 9,918.84, 13,683.66 and 6,141 is: 8,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.84 : 13,683.66 = 6,141 : x
  2. Step 2: Convert to fraction form
    9,918.84/13,683.66 = 6,141/x
  3. Step 3: Cross multiply
    9,918.84x = 13,683.66 × 6,141
  4. Step 4: Simplify right side
    9,918.84x = 84,031,356.06
  5. Step 5: Solve for x
    x = 84,031,356.06/9,918.84
  6. Step 6: Final answer
    x = 8,471.89

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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.