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Finding the Fourth Proportional to 6,199.69, 9,316.56 and 3,280.06

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Solution

The fourth proportional to 6,199.69, 9,316.56 and 3,280.06 is: 4,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.69 : 9,316.56 = 3,280.06 : x
  2. Step 2: Convert to fraction form
    6,199.69/9,316.56 = 3,280.06/x
  3. Step 3: Cross multiply
    6,199.69x = 9,316.56 × 3,280.06
  4. Step 4: Simplify right side
    6,199.69x = 30,558,875.79
  5. Step 5: Solve for x
    x = 30,558,875.79/6,199.69
  6. Step 6: Final answer
    x = 4,929.10

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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.