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Finding the Fourth Proportional to 9,419.46, 13,000.56 and 6,434.22

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Solution

The fourth proportional to 9,419.46, 13,000.56 and 6,434.22 is: 8,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.46 : 13,000.56 = 6,434.22 : x
  2. Step 2: Convert to fraction form
    9,419.46/13,000.56 = 6,434.22/x
  3. Step 3: Cross multiply
    9,419.46x = 13,000.56 × 6,434.22
  4. Step 4: Simplify right side
    9,419.46x = 83,648,463.16
  5. Step 5: Solve for x
    x = 83,648,463.16/9,419.46
  6. Step 6: Final answer
    x = 8,880.39

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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.