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Finding the Fourth Proportional to 9,543.20, 14,295.60 and 6,068

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Solution

The fourth proportional to 9,543.20, 14,295.60 and 6,068 is: 9,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.20 : 14,295.60 = 6,068 : x
  2. Step 2: Convert to fraction form
    9,543.20/14,295.60 = 6,068/x
  3. Step 3: Cross multiply
    9,543.20x = 14,295.60 × 6,068
  4. Step 4: Simplify right side
    9,543.20x = 86,745,700.80
  5. Step 5: Solve for x
    x = 86,745,700.80/9,543.20
  6. Step 6: Final answer
    x = 9,089.79

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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.