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Finding the Fourth Proportional to 6,106.48, 9,145.04 and 5,800.24

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Solution

The fourth proportional to 6,106.48, 9,145.04 and 5,800.24 is: 8,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.48 : 9,145.04 = 5,800.24 : x
  2. Step 2: Convert to fraction form
    6,106.48/9,145.04 = 5,800.24/x
  3. Step 3: Cross multiply
    6,106.48x = 9,145.04 × 5,800.24
  4. Step 4: Simplify right side
    6,106.48x = 53,043,426.81
  5. Step 5: Solve for x
    x = 53,043,426.81/6,106.48
  6. Step 6: Final answer
    x = 8,686.42

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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.