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Finding the Fourth Proportional to 9,361.13, 14,046.08 and 4,095.46

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Solution

The fourth proportional to 9,361.13, 14,046.08 and 4,095.46 is: 6,145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.13 : 14,046.08 = 4,095.46 : x
  2. Step 2: Convert to fraction form
    9,361.13/14,046.08 = 4,095.46/x
  3. Step 3: Cross multiply
    9,361.13x = 14,046.08 × 4,095.46
  4. Step 4: Simplify right side
    9,361.13x = 57,525,158.80
  5. Step 5: Solve for x
    x = 57,525,158.80/9,361.13
  6. Step 6: Final answer
    x = 6,145.11

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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.