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Finding the Fourth Proportional to 9,405.76, 12,980.38 and 5,213.74

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Solution

The fourth proportional to 9,405.76, 12,980.38 and 5,213.74 is: 7,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.76 : 12,980.38 = 5,213.74 : x
  2. Step 2: Convert to fraction form
    9,405.76/12,980.38 = 5,213.74/x
  3. Step 3: Cross multiply
    9,405.76x = 12,980.38 × 5,213.74
  4. Step 4: Simplify right side
    9,405.76x = 67,676,326.42
  5. Step 5: Solve for x
    x = 67,676,326.42/9,405.76
  6. Step 6: Final answer
    x = 7,195.20

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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.