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Finding the Fourth Proportional to 9,543.56, 14,301.52 and 6,578.96

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Solution

The fourth proportional to 9,543.56, 14,301.52 and 6,578.96 is: 9,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.56 : 14,301.52 = 6,578.96 : x
  2. Step 2: Convert to fraction form
    9,543.56/14,301.52 = 6,578.96/x
  3. Step 3: Cross multiply
    9,543.56x = 14,301.52 × 6,578.96
  4. Step 4: Simplify right side
    9,543.56x = 94,089,040.06
  5. Step 5: Solve for x
    x = 94,089,040.06/9,543.56
  6. Step 6: Final answer
    x = 9,858.91

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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.