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Finding the Fourth Proportional to 9,574.64, 14,347.91 and 4,824.30

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Solution

The fourth proportional to 9,574.64, 14,347.91 and 4,824.30 is: 7,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.64 : 14,347.91 = 4,824.30 : x
  2. Step 2: Convert to fraction form
    9,574.64/14,347.91 = 4,824.30/x
  3. Step 3: Cross multiply
    9,574.64x = 14,347.91 × 4,824.30
  4. Step 4: Simplify right side
    9,574.64x = 69,218,622.21
  5. Step 5: Solve for x
    x = 69,218,622.21/9,574.64
  6. Step 6: Final answer
    x = 7,229.37

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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.