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Finding the Fourth Proportional to 9,325.34, 13,990.44 and 3,482

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Solution

The fourth proportional to 9,325.34, 13,990.44 and 3,482 is: 5,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.34 : 13,990.44 = 3,482 : x
  2. Step 2: Convert to fraction form
    9,325.34/13,990.44 = 3,482/x
  3. Step 3: Cross multiply
    9,325.34x = 13,990.44 × 3,482
  4. Step 4: Simplify right side
    9,325.34x = 48,714,712.08
  5. Step 5: Solve for x
    x = 48,714,712.08/9,325.34
  6. Step 6: Final answer
    x = 5,223.91

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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.