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Finding the Fourth Proportional to 9,129.75, 12,599.06 and 4,938

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Solution

The fourth proportional to 9,129.75, 12,599.06 and 4,938 is: 6,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.75 : 12,599.06 = 4,938 : x
  2. Step 2: Convert to fraction form
    9,129.75/12,599.06 = 4,938/x
  3. Step 3: Cross multiply
    9,129.75x = 12,599.06 × 4,938
  4. Step 4: Simplify right side
    9,129.75x = 62,214,133.59
  5. Step 5: Solve for x
    x = 62,214,133.59/9,129.75
  6. Step 6: Final answer
    x = 6,814.44

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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.