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Finding the Fourth Proportional to 6,302.16, 9,468.90 and 4,082.40

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Solution

The fourth proportional to 6,302.16, 9,468.90 and 4,082.40 is: 6,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.16 : 9,468.90 = 4,082.40 : x
  2. Step 2: Convert to fraction form
    6,302.16/9,468.90 = 4,082.40/x
  3. Step 3: Cross multiply
    6,302.16x = 9,468.90 × 4,082.40
  4. Step 4: Simplify right side
    6,302.16x = 38,655,837.36
  5. Step 5: Solve for x
    x = 38,655,837.36/6,302.16
  6. Step 6: Final answer
    x = 6,133.74

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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.