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Finding the Fourth Proportional to 9,805.74, 14,685.93 and 5,901.54

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Solution

The fourth proportional to 9,805.74, 14,685.93 and 5,901.54 is: 8,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.74 : 14,685.93 = 5,901.54 : x
  2. Step 2: Convert to fraction form
    9,805.74/14,685.93 = 5,901.54/x
  3. Step 3: Cross multiply
    9,805.74x = 14,685.93 × 5,901.54
  4. Step 4: Simplify right side
    9,805.74x = 86,669,603.33
  5. Step 5: Solve for x
    x = 86,669,603.33/9,805.74
  6. Step 6: Final answer
    x = 8,838.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.