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Finding the Fourth Proportional to 9,416, 14,126.17 and 3,260

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Solution

The fourth proportional to 9,416, 14,126.17 and 3,260 is: 4,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416 : 14,126.17 = 3,260 : x
  2. Step 2: Convert to fraction form
    9,416/14,126.17 = 3,260/x
  3. Step 3: Cross multiply
    9,416x = 14,126.17 × 3,260
  4. Step 4: Simplify right side
    9,416x = 46,051,314.20
  5. Step 5: Solve for x
    x = 46,051,314.20/9,416
  6. Step 6: Final answer
    x = 4,890.75

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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.