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Finding the Fourth Proportional to 9,539.57, 13,165.84 and 5,348.63

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Solution

The fourth proportional to 9,539.57, 13,165.84 and 5,348.63 is: 7,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.57 : 13,165.84 = 5,348.63 : x
  2. Step 2: Convert to fraction form
    9,539.57/13,165.84 = 5,348.63/x
  3. Step 3: Cross multiply
    9,539.57x = 13,165.84 × 5,348.63
  4. Step 4: Simplify right side
    9,539.57x = 70,419,246.40
  5. Step 5: Solve for x
    x = 70,419,246.40/9,539.57
  6. Step 6: Final answer
    x = 7,381.80

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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.