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Finding the Fourth Proportional to 9,574.16, 14,361.08 and 3,000.38

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Solution

The fourth proportional to 9,574.16, 14,361.08 and 3,000.38 is: 4,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.16 : 14,361.08 = 3,000.38 : x
  2. Step 2: Convert to fraction form
    9,574.16/14,361.08 = 3,000.38/x
  3. Step 3: Cross multiply
    9,574.16x = 14,361.08 × 3,000.38
  4. Step 4: Simplify right side
    9,574.16x = 43,088,610.40
  5. Step 5: Solve for x
    x = 43,088,610.40/9,574.16
  6. Step 6: Final answer
    x = 4,500.51

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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.