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Finding the Fourth Proportional to 9,539.56, 13,165.14 and 5,347.48

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Solution

The fourth proportional to 9,539.56, 13,165.14 and 5,347.48 is: 7,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.56 : 13,165.14 = 5,347.48 : x
  2. Step 2: Convert to fraction form
    9,539.56/13,165.14 = 5,347.48/x
  3. Step 3: Cross multiply
    9,539.56x = 13,165.14 × 5,347.48
  4. Step 4: Simplify right side
    9,539.56x = 70,400,322.85
  5. Step 5: Solve for x
    x = 70,400,322.85/9,539.56
  6. Step 6: Final answer
    x = 7,379.83

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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.