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Finding the Fourth Proportional to 9,968.49, 14,957.06 and 5,346.09

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Solution

The fourth proportional to 9,968.49, 14,957.06 and 5,346.09 is: 8,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.49 : 14,957.06 = 5,346.09 : x
  2. Step 2: Convert to fraction form
    9,968.49/14,957.06 = 5,346.09/x
  3. Step 3: Cross multiply
    9,968.49x = 14,957.06 × 5,346.09
  4. Step 4: Simplify right side
    9,968.49x = 79,961,762.16
  5. Step 5: Solve for x
    x = 79,961,762.16/9,968.49
  6. Step 6: Final answer
    x = 8,021.45

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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.