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Finding the Fourth Proportional to 9,027.64, 13,543.53 and 4,098.70

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Solution

The fourth proportional to 9,027.64, 13,543.53 and 4,098.70 is: 6,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.64 : 13,543.53 = 4,098.70 : x
  2. Step 2: Convert to fraction form
    9,027.64/13,543.53 = 4,098.70/x
  3. Step 3: Cross multiply
    9,027.64x = 13,543.53 × 4,098.70
  4. Step 4: Simplify right side
    9,027.64x = 55,510,866.41
  5. Step 5: Solve for x
    x = 55,510,866.41/9,027.64
  6. Step 6: Final answer
    x = 6,148.99

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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.