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Finding the Fourth Proportional to 9,957.69, 14,930.78 and 5,959.06

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Solution

The fourth proportional to 9,957.69, 14,930.78 and 5,959.06 is: 8,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.69 : 14,930.78 = 5,959.06 : x
  2. Step 2: Convert to fraction form
    9,957.69/14,930.78 = 5,959.06/x
  3. Step 3: Cross multiply
    9,957.69x = 14,930.78 × 5,959.06
  4. Step 4: Simplify right side
    9,957.69x = 88,973,413.87
  5. Step 5: Solve for x
    x = 88,973,413.87/9,957.69
  6. Step 6: Final answer
    x = 8,935.15

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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.