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Finding the Fourth Proportional to 9,030.53, 13,543.02 and 3,185.78

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Solution

The fourth proportional to 9,030.53, 13,543.02 and 3,185.78 is: 4,777.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.53 : 13,543.02 = 3,185.78 : x
  2. Step 2: Convert to fraction form
    9,030.53/13,543.02 = 3,185.78/x
  3. Step 3: Cross multiply
    9,030.53x = 13,543.02 × 3,185.78
  4. Step 4: Simplify right side
    9,030.53x = 43,145,014.54
  5. Step 5: Solve for x
    x = 43,145,014.54/9,030.53
  6. Step 6: Final answer
    x = 4,777.68

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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.