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Finding the Fourth Proportional to 9,406.68, 14,082.42 and 4,953.84

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Solution

The fourth proportional to 9,406.68, 14,082.42 and 4,953.84 is: 7,416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.68 : 14,082.42 = 4,953.84 : x
  2. Step 2: Convert to fraction form
    9,406.68/14,082.42 = 4,953.84/x
  3. Step 3: Cross multiply
    9,406.68x = 14,082.42 × 4,953.84
  4. Step 4: Simplify right side
    9,406.68x = 69,762,055.49
  5. Step 5: Solve for x
    x = 69,762,055.49/9,406.68
  6. Step 6: Final answer
    x = 7,416.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.