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Finding the Fourth Proportional to 9,410.70, 14,096.91 and 6,113.82

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Solution

The fourth proportional to 9,410.70, 14,096.91 and 6,113.82 is: 9,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.70 : 14,096.91 = 6,113.82 : x
  2. Step 2: Convert to fraction form
    9,410.70/14,096.91 = 6,113.82/x
  3. Step 3: Cross multiply
    9,410.70x = 14,096.91 × 6,113.82
  4. Step 4: Simplify right side
    9,410.70x = 86,185,970.30
  5. Step 5: Solve for x
    x = 86,185,970.30/9,410.70
  6. Step 6: Final answer
    x = 9,158.30

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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.