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Finding the Fourth Proportional to 9,968.34, 13,752.78 and 5,988

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Solution

The fourth proportional to 9,968.34, 13,752.78 and 5,988 is: 8,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.34 : 13,752.78 = 5,988 : x
  2. Step 2: Convert to fraction form
    9,968.34/13,752.78 = 5,988/x
  3. Step 3: Cross multiply
    9,968.34x = 13,752.78 × 5,988
  4. Step 4: Simplify right side
    9,968.34x = 82,351,646.64
  5. Step 5: Solve for x
    x = 82,351,646.64/9,968.34
  6. Step 6: Final answer
    x = 8,261.32

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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.