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Finding the Fourth Proportional to 9,719.19, 13,414.37 and 6,320.40

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Solution

The fourth proportional to 9,719.19, 13,414.37 and 6,320.40 is: 8,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.19 : 13,414.37 = 6,320.40 : x
  2. Step 2: Convert to fraction form
    9,719.19/13,414.37 = 6,320.40/x
  3. Step 3: Cross multiply
    9,719.19x = 13,414.37 × 6,320.40
  4. Step 4: Simplify right side
    9,719.19x = 84,784,184.15
  5. Step 5: Solve for x
    x = 84,784,184.15/9,719.19
  6. Step 6: Final answer
    x = 8,723.38

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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.