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Finding the Fourth Proportional to 9,145.44, 12,625.07 and 6,125.76

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Solution

The fourth proportional to 9,145.44, 12,625.07 and 6,125.76 is: 8,456.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.44 : 12,625.07 = 6,125.76 : x
  2. Step 2: Convert to fraction form
    9,145.44/12,625.07 = 6,125.76/x
  3. Step 3: Cross multiply
    9,145.44x = 12,625.07 × 6,125.76
  4. Step 4: Simplify right side
    9,145.44x = 77,338,118.17
  5. Step 5: Solve for x
    x = 77,338,118.17/9,145.44
  6. Step 6: Final answer
    x = 8,456.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.