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Finding the Fourth Proportional to 10,573.70, 14,596.54 and 9,132.33

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Solution

The fourth proportional to 10,573.70, 14,596.54 and 9,132.33 is: 12,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.70 : 14,596.54 = 9,132.33 : x
  2. Step 2: Convert to fraction form
    10,573.70/14,596.54 = 9,132.33/x
  3. Step 3: Cross multiply
    10,573.70x = 14,596.54 × 9,132.33
  4. Step 4: Simplify right side
    10,573.70x = 133,300,420.14
  5. Step 5: Solve for x
    x = 133,300,420.14/10,573.70
  6. Step 6: Final answer
    x = 12,606.79

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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.