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Finding the Fourth Proportional to 9,573.39, 14,360.10 and 3,000.09

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Solution

The fourth proportional to 9,573.39, 14,360.10 and 3,000.09 is: 4,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.39 : 14,360.10 = 3,000.09 : x
  2. Step 2: Convert to fraction form
    9,573.39/14,360.10 = 3,000.09/x
  3. Step 3: Cross multiply
    9,573.39x = 14,360.10 × 3,000.09
  4. Step 4: Simplify right side
    9,573.39x = 43,081,577.41
  5. Step 5: Solve for x
    x = 43,081,577.41/9,573.39
  6. Step 6: Final answer
    x = 4,500.14

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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.