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Finding the Fourth Proportional to 9,434.13, 13,028 and 6,082.95

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Solution

The fourth proportional to 9,434.13, 13,028 and 6,082.95 is: 8,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.13 : 13,028 = 6,082.95 : x
  2. Step 2: Convert to fraction form
    9,434.13/13,028 = 6,082.95/x
  3. Step 3: Cross multiply
    9,434.13x = 13,028 × 6,082.95
  4. Step 4: Simplify right side
    9,434.13x = 79,248,672.60
  5. Step 5: Solve for x
    x = 79,248,672.60/9,434.13
  6. Step 6: Final answer
    x = 8,400.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.