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Finding the Fourth Proportional to 6,289.74, 9,420.03 and 6,071.04

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Solution

The fourth proportional to 6,289.74, 9,420.03 and 6,071.04 is: 9,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.74 : 9,420.03 = 6,071.04 : x
  2. Step 2: Convert to fraction form
    6,289.74/9,420.03 = 6,071.04/x
  3. Step 3: Cross multiply
    6,289.74x = 9,420.03 × 6,071.04
  4. Step 4: Simplify right side
    6,289.74x = 57,189,378.93
  5. Step 5: Solve for x
    x = 57,189,378.93/6,289.74
  6. Step 6: Final answer
    x = 9,092.49

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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.