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Finding the Fourth Proportional to 6,103.68, 9,145.92 and 5,875.84

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Solution

The fourth proportional to 6,103.68, 9,145.92 and 5,875.84 is: 8,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.68 : 9,145.92 = 5,875.84 : x
  2. Step 2: Convert to fraction form
    6,103.68/9,145.92 = 5,875.84/x
  3. Step 3: Cross multiply
    6,103.68x = 9,145.92 × 5,875.84
  4. Step 4: Simplify right side
    6,103.68x = 53,739,962.57
  5. Step 5: Solve for x
    x = 53,739,962.57/6,103.68
  6. Step 6: Final answer
    x = 8,804.52

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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.