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Finding the Fourth Proportional to 9,616.40, 14,424.75 and 3,042.64

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Solution

The fourth proportional to 9,616.40, 14,424.75 and 3,042.64 is: 4,564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.40 : 14,424.75 = 3,042.64 : x
  2. Step 2: Convert to fraction form
    9,616.40/14,424.75 = 3,042.64/x
  3. Step 3: Cross multiply
    9,616.40x = 14,424.75 × 3,042.64
  4. Step 4: Simplify right side
    9,616.40x = 43,889,321.34
  5. Step 5: Solve for x
    x = 43,889,321.34/9,616.40
  6. Step 6: Final answer
    x = 4,564.01

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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.