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Finding the Fourth Proportional to 9,573.64, 14,346.42 and 4,823.30

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Solution

The fourth proportional to 9,573.64, 14,346.42 and 4,823.30 is: 7,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.64 : 14,346.42 = 4,823.30 : x
  2. Step 2: Convert to fraction form
    9,573.64/14,346.42 = 4,823.30/x
  3. Step 3: Cross multiply
    9,573.64x = 14,346.42 × 4,823.30
  4. Step 4: Simplify right side
    9,573.64x = 69,197,024.67
  5. Step 5: Solve for x
    x = 69,197,024.67/9,573.64
  6. Step 6: Final answer
    x = 7,227.87

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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.