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Finding the Fourth Proportional to 9,098.08, 12,555.21 and 5,119.19

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Solution

The fourth proportional to 9,098.08, 12,555.21 and 5,119.19 is: 7,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.08 : 12,555.21 = 5,119.19 : x
  2. Step 2: Convert to fraction form
    9,098.08/12,555.21 = 5,119.19/x
  3. Step 3: Cross multiply
    9,098.08x = 12,555.21 × 5,119.19
  4. Step 4: Simplify right side
    9,098.08x = 64,272,479.88
  5. Step 5: Solve for x
    x = 64,272,479.88/9,098.08
  6. Step 6: Final answer
    x = 7,064.40

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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.