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Finding the Fourth Proportional to 9,283.45, 12,807.80 and 6,098.46

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Solution

The fourth proportional to 9,283.45, 12,807.80 and 6,098.46 is: 8,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.45 : 12,807.80 = 6,098.46 : x
  2. Step 2: Convert to fraction form
    9,283.45/12,807.80 = 6,098.46/x
  3. Step 3: Cross multiply
    9,283.45x = 12,807.80 × 6,098.46
  4. Step 4: Simplify right side
    9,283.45x = 78,107,808.72
  5. Step 5: Solve for x
    x = 78,107,808.72/9,283.45
  6. Step 6: Final answer
    x = 8,413.66

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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.