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Finding the Fourth Proportional to 9,523.58, 13,142.76 and 5,545.40

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Solution

The fourth proportional to 9,523.58, 13,142.76 and 5,545.40 is: 7,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.58 : 13,142.76 = 5,545.40 : x
  2. Step 2: Convert to fraction form
    9,523.58/13,142.76 = 5,545.40/x
  3. Step 3: Cross multiply
    9,523.58x = 13,142.76 × 5,545.40
  4. Step 4: Simplify right side
    9,523.58x = 72,881,861.30
  5. Step 5: Solve for x
    x = 72,881,861.30/9,523.58
  6. Step 6: Final answer
    x = 7,652.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.