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Finding the Fourth Proportional to 9,446.16, 14,169.08 and 3,290

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Solution

The fourth proportional to 9,446.16, 14,169.08 and 3,290 is: 4,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.16 : 14,169.08 = 3,290 : x
  2. Step 2: Convert to fraction form
    9,446.16/14,169.08 = 3,290/x
  3. Step 3: Cross multiply
    9,446.16x = 14,169.08 × 3,290
  4. Step 4: Simplify right side
    9,446.16x = 46,616,273.20
  5. Step 5: Solve for x
    x = 46,616,273.20/9,446.16
  6. Step 6: Final answer
    x = 4,934.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.