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Finding the Fourth Proportional to 9,974.72, 14,958.44 and 4,124.50

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Solution

The fourth proportional to 9,974.72, 14,958.44 and 4,124.50 is: 6,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.72 : 14,958.44 = 4,124.50 : x
  2. Step 2: Convert to fraction form
    9,974.72/14,958.44 = 4,124.50/x
  3. Step 3: Cross multiply
    9,974.72x = 14,958.44 × 4,124.50
  4. Step 4: Simplify right side
    9,974.72x = 61,696,085.78
  5. Step 5: Solve for x
    x = 61,696,085.78/9,974.72
  6. Step 6: Final answer
    x = 6,185.24

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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.