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Finding the Fourth Proportional to 9,549.47, 14,327.04 and 5,165.75

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Solution

The fourth proportional to 9,549.47, 14,327.04 and 5,165.75 is: 7,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.47 : 14,327.04 = 5,165.75 : x
  2. Step 2: Convert to fraction form
    9,549.47/14,327.04 = 5,165.75/x
  3. Step 3: Cross multiply
    9,549.47x = 14,327.04 × 5,165.75
  4. Step 4: Simplify right side
    9,549.47x = 74,009,906.88
  5. Step 5: Solve for x
    x = 74,009,906.88/9,549.47
  6. Step 6: Final answer
    x = 7,750.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.