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Finding the Fourth Proportional to 9,573.62, 14,362.59 and 2,999.78

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Solution

The fourth proportional to 9,573.62, 14,362.59 and 2,999.78 is: 4,500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.62 : 14,362.59 = 2,999.78 : x
  2. Step 2: Convert to fraction form
    9,573.62/14,362.59 = 2,999.78/x
  3. Step 3: Cross multiply
    9,573.62x = 14,362.59 × 2,999.78
  4. Step 4: Simplify right side
    9,573.62x = 43,084,610.23
  5. Step 5: Solve for x
    x = 43,084,610.23/9,573.62
  6. Step 6: Final answer
    x = 4,500.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.