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Finding the Fourth Proportional to 9,241.64, 13,869.14 and 3,696.53

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Solution

The fourth proportional to 9,241.64, 13,869.14 and 3,696.53 is: 5,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.64 : 13,869.14 = 3,696.53 : x
  2. Step 2: Convert to fraction form
    9,241.64/13,869.14 = 3,696.53/x
  3. Step 3: Cross multiply
    9,241.64x = 13,869.14 × 3,696.53
  4. Step 4: Simplify right side
    9,241.64x = 51,267,673.60
  5. Step 5: Solve for x
    x = 51,267,673.60/9,241.64
  6. Step 6: Final answer
    x = 5,547.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.