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Finding the Fourth Proportional to 9,671.65, 14,500.38 and 3,094.05

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Solution

The fourth proportional to 9,671.65, 14,500.38 and 3,094.05 is: 4,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.65 : 14,500.38 = 3,094.05 : x
  2. Step 2: Convert to fraction form
    9,671.65/14,500.38 = 3,094.05/x
  3. Step 3: Cross multiply
    9,671.65x = 14,500.38 × 3,094.05
  4. Step 4: Simplify right side
    9,671.65x = 44,864,900.74
  5. Step 5: Solve for x
    x = 44,864,900.74/9,671.65
  6. Step 6: Final answer
    x = 4,638.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.