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Finding the Fourth Proportional to 6,363.78, 9,549.81 and 4,807.38

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Solution

The fourth proportional to 6,363.78, 9,549.81 and 4,807.38 is: 7,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.78 : 9,549.81 = 4,807.38 : x
  2. Step 2: Convert to fraction form
    6,363.78/9,549.81 = 4,807.38/x
  3. Step 3: Cross multiply
    6,363.78x = 9,549.81 × 4,807.38
  4. Step 4: Simplify right side
    6,363.78x = 45,909,565.60
  5. Step 5: Solve for x
    x = 45,909,565.60/6,363.78
  6. Step 6: Final answer
    x = 7,214.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.