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Finding the Fourth Proportional to 9,968.68, 13,752.21 and 5,774.50

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Solution

The fourth proportional to 9,968.68, 13,752.21 and 5,774.50 is: 7,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.68 : 13,752.21 = 5,774.50 : x
  2. Step 2: Convert to fraction form
    9,968.68/13,752.21 = 5,774.50/x
  3. Step 3: Cross multiply
    9,968.68x = 13,752.21 × 5,774.50
  4. Step 4: Simplify right side
    9,968.68x = 79,412,136.65
  5. Step 5: Solve for x
    x = 79,412,136.65/9,968.68
  6. Step 6: Final answer
    x = 7,966.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.