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Finding the Fourth Proportional to 7,143.46, 9,856.28 and 4,157.50

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Solution

The fourth proportional to 7,143.46, 9,856.28 and 4,157.50 is: 5,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.46 : 9,856.28 = 4,157.50 : x
  2. Step 2: Convert to fraction form
    7,143.46/9,856.28 = 4,157.50/x
  3. Step 3: Cross multiply
    7,143.46x = 9,856.28 × 4,157.50
  4. Step 4: Simplify right side
    7,143.46x = 40,977,484.10
  5. Step 5: Solve for x
    x = 40,977,484.10/7,143.46
  6. Step 6: Final answer
    x = 5,736.36

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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.