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Finding the Fourth Proportional to 9,722.59, 13,406.57 and 6,573.31

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Solution

The fourth proportional to 9,722.59, 13,406.57 and 6,573.31 is: 9,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.59 : 13,406.57 = 6,573.31 : x
  2. Step 2: Convert to fraction form
    9,722.59/13,406.57 = 6,573.31/x
  3. Step 3: Cross multiply
    9,722.59x = 13,406.57 × 6,573.31
  4. Step 4: Simplify right side
    9,722.59x = 88,125,440.75
  5. Step 5: Solve for x
    x = 88,125,440.75/9,722.59
  6. Step 6: Final answer
    x = 9,063.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.