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Finding the Fourth Proportional to 9,573.40, 14,355.78 and 3,417.56

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Solution

The fourth proportional to 9,573.40, 14,355.78 and 3,417.56 is: 5,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.40 : 14,355.78 = 3,417.56 : x
  2. Step 2: Convert to fraction form
    9,573.40/14,355.78 = 3,417.56/x
  3. Step 3: Cross multiply
    9,573.40x = 14,355.78 × 3,417.56
  4. Step 4: Simplify right side
    9,573.40x = 49,061,739.50
  5. Step 5: Solve for x
    x = 49,061,739.50/9,573.40
  6. Step 6: Final answer
    x = 5,124.80

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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.