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Finding the Fourth Proportional to 9,989.49, 14,974.92 and 6,280.50

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Solution

The fourth proportional to 9,989.49, 14,974.92 and 6,280.50 is: 9,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.49 : 14,974.92 = 6,280.50 : x
  2. Step 2: Convert to fraction form
    9,989.49/14,974.92 = 6,280.50/x
  3. Step 3: Cross multiply
    9,989.49x = 14,974.92 × 6,280.50
  4. Step 4: Simplify right side
    9,989.49x = 94,049,985.06
  5. Step 5: Solve for x
    x = 94,049,985.06/9,989.49
  6. Step 6: Final answer
    x = 9,414.89

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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.