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Finding the Fourth Proportional to 6,124.48, 9,178.47 and 3,346.98

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Solution

The fourth proportional to 6,124.48, 9,178.47 and 3,346.98 is: 5,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.48 : 9,178.47 = 3,346.98 : x
  2. Step 2: Convert to fraction form
    6,124.48/9,178.47 = 3,346.98/x
  3. Step 3: Cross multiply
    6,124.48x = 9,178.47 × 3,346.98
  4. Step 4: Simplify right side
    6,124.48x = 30,720,155.52
  5. Step 5: Solve for x
    x = 30,720,155.52/6,124.48
  6. Step 6: Final answer
    x = 5,015.96

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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.