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Finding the Fourth Proportional to 9,119.34, 12,595.07 and 6,129.99

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Solution

The fourth proportional to 9,119.34, 12,595.07 and 6,129.99 is: 8,466.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.34 : 12,595.07 = 6,129.99 : x
  2. Step 2: Convert to fraction form
    9,119.34/12,595.07 = 6,129.99/x
  3. Step 3: Cross multiply
    9,119.34x = 12,595.07 × 6,129.99
  4. Step 4: Simplify right side
    9,119.34x = 77,207,653.15
  5. Step 5: Solve for x
    x = 77,207,653.15/9,119.34
  6. Step 6: Final answer
    x = 8,466.36

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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.