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Finding the Fourth Proportional to 6,341.36, 9,488.28 and 6,008

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Solution

The fourth proportional to 6,341.36, 9,488.28 and 6,008 is: 8,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.36 : 9,488.28 = 6,008 : x
  2. Step 2: Convert to fraction form
    6,341.36/9,488.28 = 6,008/x
  3. Step 3: Cross multiply
    6,341.36x = 9,488.28 × 6,008
  4. Step 4: Simplify right side
    6,341.36x = 57,005,586.24
  5. Step 5: Solve for x
    x = 57,005,586.24/6,341.36
  6. Step 6: Final answer
    x = 8,989.49

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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.