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Finding the Fourth Proportional to 9,475.16, 13,073.04 and 6,118.04

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Solution

The fourth proportional to 9,475.16, 13,073.04 and 6,118.04 is: 8,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.16 : 13,073.04 = 6,118.04 : x
  2. Step 2: Convert to fraction form
    9,475.16/13,073.04 = 6,118.04/x
  3. Step 3: Cross multiply
    9,475.16x = 13,073.04 × 6,118.04
  4. Step 4: Simplify right side
    9,475.16x = 79,981,381.64
  5. Step 5: Solve for x
    x = 79,981,381.64/9,475.16
  6. Step 6: Final answer
    x = 8,441.16

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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.