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Finding the Fourth Proportional to 9,110.45, 12,567.88 and 6,126.41

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Solution

The fourth proportional to 9,110.45, 12,567.88 and 6,126.41 is: 8,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.45 : 12,567.88 = 6,126.41 : x
  2. Step 2: Convert to fraction form
    9,110.45/12,567.88 = 6,126.41/x
  3. Step 3: Cross multiply
    9,110.45x = 12,567.88 × 6,126.41
  4. Step 4: Simplify right side
    9,110.45x = 76,995,985.71
  5. Step 5: Solve for x
    x = 76,995,985.71/9,110.45
  6. Step 6: Final answer
    x = 8,451.39

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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.