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Finding the Fourth Proportional to 9,665.40, 14,500.16 and 3,001.75

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Solution

The fourth proportional to 9,665.40, 14,500.16 and 3,001.75 is: 4,503.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.40 : 14,500.16 = 3,001.75 : x
  2. Step 2: Convert to fraction form
    9,665.40/14,500.16 = 3,001.75/x
  3. Step 3: Cross multiply
    9,665.40x = 14,500.16 × 3,001.75
  4. Step 4: Simplify right side
    9,665.40x = 43,525,855.28
  5. Step 5: Solve for x
    x = 43,525,855.28/9,665.40
  6. Step 6: Final answer
    x = 4,503.26

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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.