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Finding the Fourth Proportional to 9,482.49, 13,079.75 and 5,756.49

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Solution

The fourth proportional to 9,482.49, 13,079.75 and 5,756.49 is: 7,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.49 : 13,079.75 = 5,756.49 : x
  2. Step 2: Convert to fraction form
    9,482.49/13,079.75 = 5,756.49/x
  3. Step 3: Cross multiply
    9,482.49x = 13,079.75 × 5,756.49
  4. Step 4: Simplify right side
    9,482.49x = 75,293,421.30
  5. Step 5: Solve for x
    x = 75,293,421.30/9,482.49
  6. Step 6: Final answer
    x = 7,940.26

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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.