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Finding the Fourth Proportional to 9,405.52, 12,980.04 and 5,213.76

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Solution

The fourth proportional to 9,405.52, 12,980.04 and 5,213.76 is: 7,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.52 : 12,980.04 = 5,213.76 : x
  2. Step 2: Convert to fraction form
    9,405.52/12,980.04 = 5,213.76/x
  3. Step 3: Cross multiply
    9,405.52x = 12,980.04 × 5,213.76
  4. Step 4: Simplify right side
    9,405.52x = 67,674,813.35
  5. Step 5: Solve for x
    x = 67,674,813.35/9,405.52
  6. Step 6: Final answer
    x = 7,195.22

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1.5x scale

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.