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Finding the Fourth Proportional to 7,146.99, 9,861.06 and 4,123.03

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Solution

The fourth proportional to 7,146.99, 9,861.06 and 4,123.03 is: 5,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.99 : 9,861.06 = 4,123.03 : x
  2. Step 2: Convert to fraction form
    7,146.99/9,861.06 = 4,123.03/x
  3. Step 3: Cross multiply
    7,146.99x = 9,861.06 × 4,123.03
  4. Step 4: Simplify right side
    7,146.99x = 40,657,446.21
  5. Step 5: Solve for x
    x = 40,657,446.21/7,146.99
  6. Step 6: Final answer
    x = 5,688.75

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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.