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Finding the Fourth Proportional to 9,566.31, 13,201.91 and 5,317.37

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Solution

The fourth proportional to 9,566.31, 13,201.91 and 5,317.37 is: 7,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.31 : 13,201.91 = 5,317.37 : x
  2. Step 2: Convert to fraction form
    9,566.31/13,201.91 = 5,317.37/x
  3. Step 3: Cross multiply
    9,566.31x = 13,201.91 × 5,317.37
  4. Step 4: Simplify right side
    9,566.31x = 70,199,347.58
  5. Step 5: Solve for x
    x = 70,199,347.58/9,566.31
  6. Step 6: Final answer
    x = 7,338.18

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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.