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Finding the Fourth Proportional to 9,486, 14,232.78 and 4,803.48

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Solution

The fourth proportional to 9,486, 14,232.78 and 4,803.48 is: 7,207.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486 : 14,232.78 = 4,803.48 : x
  2. Step 2: Convert to fraction form
    9,486/14,232.78 = 4,803.48/x
  3. Step 3: Cross multiply
    9,486x = 14,232.78 × 4,803.48
  4. Step 4: Simplify right side
    9,486x = 68,366,874.07
  5. Step 5: Solve for x
    x = 68,366,874.07/9,486
  6. Step 6: Final answer
    x = 7,207.13

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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.