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Finding the Fourth Proportional to 7,142.74, 9,856.54 and 3,955.98

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Solution

The fourth proportional to 7,142.74, 9,856.54 and 3,955.98 is: 5,459.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.74 : 9,856.54 = 3,955.98 : x
  2. Step 2: Convert to fraction form
    7,142.74/9,856.54 = 3,955.98/x
  3. Step 3: Cross multiply
    7,142.74x = 9,856.54 × 3,955.98
  4. Step 4: Simplify right side
    7,142.74x = 38,992,287.83
  5. Step 5: Solve for x
    x = 38,992,287.83/7,142.74
  6. Step 6: Final answer
    x = 5,459.01

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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.