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Finding the Fourth Proportional to 9,966.66, 13,752.09 and 6,238.50

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Solution

The fourth proportional to 9,966.66, 13,752.09 and 6,238.50 is: 8,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.66 : 13,752.09 = 6,238.50 : x
  2. Step 2: Convert to fraction form
    9,966.66/13,752.09 = 6,238.50/x
  3. Step 3: Cross multiply
    9,966.66x = 13,752.09 × 6,238.50
  4. Step 4: Simplify right side
    9,966.66x = 85,792,413.47
  5. Step 5: Solve for x
    x = 85,792,413.47/9,966.66
  6. Step 6: Final answer
    x = 8,607.94

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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.