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Finding the Fourth Proportional to 9,765.63, 13,477.40 and 5,517.47

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Solution

The fourth proportional to 9,765.63, 13,477.40 and 5,517.47 is: 7,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.63 : 13,477.40 = 5,517.47 : x
  2. Step 2: Convert to fraction form
    9,765.63/13,477.40 = 5,517.47/x
  3. Step 3: Cross multiply
    9,765.63x = 13,477.40 × 5,517.47
  4. Step 4: Simplify right side
    9,765.63x = 74,361,207.62
  5. Step 5: Solve for x
    x = 74,361,207.62/9,765.63
  6. Step 6: Final answer
    x = 7,614.58

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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.