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Finding the Fourth Proportional to 9,348.88, 12,901.32 and 5,100

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Solution

The fourth proportional to 9,348.88, 12,901.32 and 5,100 is: 7,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.88 : 12,901.32 = 5,100 : x
  2. Step 2: Convert to fraction form
    9,348.88/12,901.32 = 5,100/x
  3. Step 3: Cross multiply
    9,348.88x = 12,901.32 × 5,100
  4. Step 4: Simplify right side
    9,348.88x = 65,796,732
  5. Step 5: Solve for x
    x = 65,796,732/9,348.88
  6. Step 6: Final answer
    x = 7,037.93

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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.