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Finding the Fourth Proportional to 7,247.42, 9,979.20 and 6,345.99

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Solution

The fourth proportional to 7,247.42, 9,979.20 and 6,345.99 is: 8,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.42 : 9,979.20 = 6,345.99 : x
  2. Step 2: Convert to fraction form
    7,247.42/9,979.20 = 6,345.99/x
  3. Step 3: Cross multiply
    7,247.42x = 9,979.20 × 6,345.99
  4. Step 4: Simplify right side
    7,247.42x = 63,327,903.41
  5. Step 5: Solve for x
    x = 63,327,903.41/7,247.42
  6. Step 6: Final answer
    x = 8,738.00

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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.