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Finding the Fourth Proportional to 9,974.17, 14,957.52 and 3,309.45

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Solution

The fourth proportional to 9,974.17, 14,957.52 and 3,309.45 is: 4,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.17 : 14,957.52 = 3,309.45 : x
  2. Step 2: Convert to fraction form
    9,974.17/14,957.52 = 3,309.45/x
  3. Step 3: Cross multiply
    9,974.17x = 14,957.52 × 3,309.45
  4. Step 4: Simplify right side
    9,974.17x = 49,501,164.56
  5. Step 5: Solve for x
    x = 49,501,164.56/9,974.17
  6. Step 6: Final answer
    x = 4,962.94

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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.