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Finding the Fourth Proportional to 9,539.47, 13,164.74 and 5,763.31

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Solution

The fourth proportional to 9,539.47, 13,164.74 and 5,763.31 is: 7,953.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.47 : 13,164.74 = 5,763.31 : x
  2. Step 2: Convert to fraction form
    9,539.47/13,164.74 = 5,763.31/x
  3. Step 3: Cross multiply
    9,539.47x = 13,164.74 × 5,763.31
  4. Step 4: Simplify right side
    9,539.47x = 75,872,507.02
  5. Step 5: Solve for x
    x = 75,872,507.02/9,539.47
  6. Step 6: Final answer
    x = 7,953.53

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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.