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Finding the Fourth Proportional to 9,355.66, 14,031.89 and 3,114.96

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Solution

The fourth proportional to 9,355.66, 14,031.89 and 3,114.96 is: 4,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.66 : 14,031.89 = 3,114.96 : x
  2. Step 2: Convert to fraction form
    9,355.66/14,031.89 = 3,114.96/x
  3. Step 3: Cross multiply
    9,355.66x = 14,031.89 × 3,114.96
  4. Step 4: Simplify right side
    9,355.66x = 43,708,772.18
  5. Step 5: Solve for x
    x = 43,708,772.18/9,355.66
  6. Step 6: Final answer
    x = 4,671.91

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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.