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Finding the Fourth Proportional to 7,140.61, 9,853.68 and 3,954.01

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Solution

The fourth proportional to 7,140.61, 9,853.68 and 3,954.01 is: 5,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,140.61 : 9,853.68 = 3,954.01 : x
  2. Step 2: Convert to fraction form
    7,140.61/9,853.68 = 3,954.01/x
  3. Step 3: Cross multiply
    7,140.61x = 9,853.68 × 3,954.01
  4. Step 4: Simplify right side
    7,140.61x = 38,961,549.26
  5. Step 5: Solve for x
    x = 38,961,549.26/7,140.61
  6. Step 6: Final answer
    x = 5,456.33

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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.