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Finding the Fourth Proportional to 6,371.99, 9,549.08 and 5,430.02

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Solution

The fourth proportional to 6,371.99, 9,549.08 and 5,430.02 is: 8,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.99 : 9,549.08 = 5,430.02 : x
  2. Step 2: Convert to fraction form
    6,371.99/9,549.08 = 5,430.02/x
  3. Step 3: Cross multiply
    6,371.99x = 9,549.08 × 5,430.02
  4. Step 4: Simplify right side
    6,371.99x = 51,851,695.38
  5. Step 5: Solve for x
    x = 51,851,695.38/6,371.99
  6. Step 6: Final answer
    x = 8,137.44

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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.