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Finding the Fourth Proportional to 6,549.25, 9,038.88 and 4,196.40

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Solution

The fourth proportional to 6,549.25, 9,038.88 and 4,196.40 is: 5,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.25 : 9,038.88 = 4,196.40 : x
  2. Step 2: Convert to fraction form
    6,549.25/9,038.88 = 4,196.40/x
  3. Step 3: Cross multiply
    6,549.25x = 9,038.88 × 4,196.40
  4. Step 4: Simplify right side
    6,549.25x = 37,930,756.03
  5. Step 5: Solve for x
    x = 37,930,756.03/6,549.25
  6. Step 6: Final answer
    x = 5,791.62

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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.