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Finding the Fourth Proportional to 9,496, 14,242.97 and 3,254.85

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Solution

The fourth proportional to 9,496, 14,242.97 and 3,254.85 is: 4,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 14,242.97 = 3,254.85 : x
  2. Step 2: Convert to fraction form
    9,496/14,242.97 = 3,254.85/x
  3. Step 3: Cross multiply
    9,496x = 14,242.97 × 3,254.85
  4. Step 4: Simplify right side
    9,496x = 46,358,730.90
  5. Step 5: Solve for x
    x = 46,358,730.90/9,496
  6. Step 6: Final answer
    x = 4,881.92

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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.