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Finding the Fourth Proportional to 9,907.82, 13,670.07 and 6,129.17

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Solution

The fourth proportional to 9,907.82, 13,670.07 and 6,129.17 is: 8,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.82 : 13,670.07 = 6,129.17 : x
  2. Step 2: Convert to fraction form
    9,907.82/13,670.07 = 6,129.17/x
  3. Step 3: Cross multiply
    9,907.82x = 13,670.07 × 6,129.17
  4. Step 4: Simplify right side
    9,907.82x = 83,786,182.94
  5. Step 5: Solve for x
    x = 83,786,182.94/9,907.82
  6. Step 6: Final answer
    x = 8,456.57

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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.