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Finding the Fourth Proportional to 9,548.47, 14,325.54 and 5,164.75

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Solution

The fourth proportional to 9,548.47, 14,325.54 and 5,164.75 is: 7,748.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.47 : 14,325.54 = 5,164.75 : x
  2. Step 2: Convert to fraction form
    9,548.47/14,325.54 = 5,164.75/x
  3. Step 3: Cross multiply
    9,548.47x = 14,325.54 × 5,164.75
  4. Step 4: Simplify right side
    9,548.47x = 73,987,832.72
  5. Step 5: Solve for x
    x = 73,987,832.72/9,548.47
  6. Step 6: Final answer
    x = 7,748.66

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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.