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Finding the Fourth Proportional to 9,767.81, 13,480.40 and 5,519.64

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Solution

The fourth proportional to 9,767.81, 13,480.40 and 5,519.64 is: 7,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.81 : 13,480.40 = 5,519.64 : x
  2. Step 2: Convert to fraction form
    9,767.81/13,480.40 = 5,519.64/x
  3. Step 3: Cross multiply
    9,767.81x = 13,480.40 × 5,519.64
  4. Step 4: Simplify right side
    9,767.81x = 74,406,927.46
  5. Step 5: Solve for x
    x = 74,406,927.46/9,767.81
  6. Step 6: Final answer
    x = 7,617.57

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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.