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Finding the Fourth Proportional to 9,460.84, 13,057.22 and 6,113.39

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Solution

The fourth proportional to 9,460.84, 13,057.22 and 6,113.39 is: 8,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.84 : 13,057.22 = 6,113.39 : x
  2. Step 2: Convert to fraction form
    9,460.84/13,057.22 = 6,113.39/x
  3. Step 3: Cross multiply
    9,460.84x = 13,057.22 × 6,113.39
  4. Step 4: Simplify right side
    9,460.84x = 79,823,878.18
  5. Step 5: Solve for x
    x = 79,823,878.18/9,460.84
  6. Step 6: Final answer
    x = 8,437.29

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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.