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Finding the Fourth Proportional to 6,099.60, 9,141.16 and 4,448.40

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Solution

The fourth proportional to 6,099.60, 9,141.16 and 4,448.40 is: 6,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.60 : 9,141.16 = 4,448.40 : x
  2. Step 2: Convert to fraction form
    6,099.60/9,141.16 = 4,448.40/x
  3. Step 3: Cross multiply
    6,099.60x = 9,141.16 × 4,448.40
  4. Step 4: Simplify right side
    6,099.60x = 40,663,536.14
  5. Step 5: Solve for x
    x = 40,663,536.14/6,099.60
  6. Step 6: Final answer
    x = 6,666.59

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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.