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Finding the Fourth Proportional to 9,767.18, 13,478.04 and 5,459.99

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Solution

The fourth proportional to 9,767.18, 13,478.04 and 5,459.99 is: 7,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.18 : 13,478.04 = 5,459.99 : x
  2. Step 2: Convert to fraction form
    9,767.18/13,478.04 = 5,459.99/x
  3. Step 3: Cross multiply
    9,767.18x = 13,478.04 × 5,459.99
  4. Step 4: Simplify right side
    9,767.18x = 73,589,963.62
  5. Step 5: Solve for x
    x = 73,589,963.62/9,767.18
  6. Step 6: Final answer
    x = 7,534.41

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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.