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Finding the Fourth Proportional to 9,974.04, 13,763.86 and 5,497.88

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Solution

The fourth proportional to 9,974.04, 13,763.86 and 5,497.88 is: 7,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.04 : 13,763.86 = 5,497.88 : x
  2. Step 2: Convert to fraction form
    9,974.04/13,763.86 = 5,497.88/x
  3. Step 3: Cross multiply
    9,974.04x = 13,763.86 × 5,497.88
  4. Step 4: Simplify right side
    9,974.04x = 75,671,968.05
  5. Step 5: Solve for x
    x = 75,671,968.05/9,974.04
  6. Step 6: Final answer
    x = 7,586.90

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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.