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Finding the Fourth Proportional to 9,974.01, 13,763.37 and 5,497.50

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Solution

The fourth proportional to 9,974.01, 13,763.37 and 5,497.50 is: 7,586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.01 : 13,763.37 = 5,497.50 : x
  2. Step 2: Convert to fraction form
    9,974.01/13,763.37 = 5,497.50/x
  3. Step 3: Cross multiply
    9,974.01x = 13,763.37 × 5,497.50
  4. Step 4: Simplify right side
    9,974.01x = 75,664,126.58
  5. Step 5: Solve for x
    x = 75,664,126.58/9,974.01
  6. Step 6: Final answer
    x = 7,586.13

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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.